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Finding the Third Proportional to 636,811 and 865,305

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Solution

The third proportional to 636,811 and 865,305 is: 1,175,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,811 : 865,305 = 865,305 : x
  2. Step 2: Convert to fraction form
    636,811/865,305 = 865,305/x
  3. Step 3: Cross multiply
    636,811x = 865,305 × 865,305
  4. Step 4: Simplify right side
    636,811x = 748,752,743,025
  5. Step 5: Solve for x
    x = 748,752,743,025/636,811
  6. Step 6: Final answer
    x = 1,175,784.88

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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.