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Finding the Third Proportional to 217,078,728,411 and 328,410,022,504.50

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Solution

The third proportional to 217,078,728,411 and 328,410,022,504.50 is: 496,838,836,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,078,728,411 : 328,410,022,504.50 = 328,410,022,504.50 : x
  2. Step 2: Convert to fraction form
    217,078,728,411/328,410,022,504.50 = 328,410,022,504.50/x
  3. Step 3: Cross multiply
    217,078,728,411x = 328,410,022,504.50 × 328,410,022,504.50
  4. Step 4: Simplify right side
    217,078,728,411x = 107,853,142,881,406,189,305,856
  5. Step 5: Solve for x
    x = 107,853,142,881,406,189,305,856/217,078,728,411
  6. Step 6: Final answer
    x = 496,838,836,632.60

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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.