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Finding the Third Proportional to 424,442.25 and 636,663.38

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Solution

The third proportional to 424,442.25 and 636,663.38 is: 954,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,442.25 : 636,663.38 = 636,663.38 : x
  2. Step 2: Convert to fraction form
    424,442.25/636,663.38 = 636,663.38/x
  3. Step 3: Cross multiply
    424,442.25x = 636,663.38 × 636,663.38
  4. Step 4: Simplify right side
    424,442.25x = 405,340,253,066.39
  5. Step 5: Solve for x
    x = 405,340,253,066.39/424,442.25
  6. Step 6: Final answer
    x = 954,995.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.