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Finding the Third Proportional to 636,840 and 865,346

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Solution

The third proportional to 636,840 and 865,346 is: 1,175,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,840 : 865,346 = 865,346 : x
  2. Step 2: Convert to fraction form
    636,840/865,346 = 865,346/x
  3. Step 3: Cross multiply
    636,840x = 865,346 × 865,346
  4. Step 4: Simplify right side
    636,840x = 748,823,699,716
  5. Step 5: Solve for x
    x = 748,823,699,716/636,840
  6. Step 6: Final answer
    x = 1,175,842.75

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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.