Home / 408,213,140.91-630,369,022.36

Finding the Third Proportional to 408,213,140.91 and 630,369,022.36

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Solution

The third proportional to 408,213,140.91 and 630,369,022.36 is: 973,425,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,213,140.91 : 630,369,022.36 = 630,369,022.36 : x
  2. Step 2: Convert to fraction form
    408,213,140.91/630,369,022.36 = 630,369,022.36/x
  3. Step 3: Cross multiply
    408,213,140.91x = 630,369,022.36 × 630,369,022.36
  4. Step 4: Simplify right side
    408,213,140.91x = 397,365,104,350,320,512
  5. Step 5: Solve for x
    x = 397,365,104,350,320,512/408,213,140.91
  6. Step 6: Final answer
    x = 973,425,557.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.