Home / 217,078,728,407.30-328,410,022,498.45

Finding the Third Proportional to 217,078,728,407.30 and 328,410,022,498.45

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Solution

The third proportional to 217,078,728,407.30 and 328,410,022,498.45 is: 496,838,836,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,078,728,407.30 : 328,410,022,498.45 = 328,410,022,498.45 : x
  2. Step 2: Convert to fraction form
    217,078,728,407.30/328,410,022,498.45 = 328,410,022,498.45/x
  3. Step 3: Cross multiply
    217,078,728,407.30x = 328,410,022,498.45 × 328,410,022,498.45
  4. Step 4: Simplify right side
    217,078,728,407.30x = 107,853,142,877,432,438,587,392
  5. Step 5: Solve for x
    x = 107,853,142,877,432,438,587,392/217,078,728,407.30
  6. Step 6: Final answer
    x = 496,838,836,622.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.