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Finding the Third Proportional to 402,558 and 636,636

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Solution

The third proportional to 402,558 and 636,636 is: 1,006,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,558 : 636,636 = 636,636 : x
  2. Step 2: Convert to fraction form
    402,558/636,636 = 636,636/x
  3. Step 3: Cross multiply
    402,558x = 636,636 × 636,636
  4. Step 4: Simplify right side
    402,558x = 405,305,396,496
  5. Step 5: Solve for x
    x = 405,305,396,496/402,558
  6. Step 6: Final answer
    x = 1,006,824.85

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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.