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Finding the Third Proportional to 402,468 and 636,762

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Solution

The third proportional to 402,468 and 636,762 is: 1,007,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,468 : 636,762 = 636,762 : x
  2. Step 2: Convert to fraction form
    402,468/636,762 = 636,762/x
  3. Step 3: Cross multiply
    402,468x = 636,762 × 636,762
  4. Step 4: Simplify right side
    402,468x = 405,465,844,644
  5. Step 5: Solve for x
    x = 405,465,844,644/402,468
  6. Step 6: Final answer
    x = 1,007,448.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.