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Finding the Third Proportional to 435,331 and 638,092

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Solution

The third proportional to 435,331 and 638,092 is: 935,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,331 : 638,092 = 638,092 : x
  2. Step 2: Convert to fraction form
    435,331/638,092 = 638,092/x
  3. Step 3: Cross multiply
    435,331x = 638,092 × 638,092
  4. Step 4: Simplify right side
    435,331x = 407,161,400,464
  5. Step 5: Solve for x
    x = 407,161,400,464/435,331
  6. Step 6: Final answer
    x = 935,291.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.