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Finding the Third Proportional to 636,575 and 865,051

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Solution

The third proportional to 636,575 and 865,051 is: 1,175,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,575 : 865,051 = 865,051 : x
  2. Step 2: Convert to fraction form
    636,575/865,051 = 865,051/x
  3. Step 3: Cross multiply
    636,575x = 865,051 × 865,051
  4. Step 4: Simplify right side
    636,575x = 748,313,232,601
  5. Step 5: Solve for x
    x = 748,313,232,601/636,575
  6. Step 6: Final answer
    x = 1,175,530.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.