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Finding the Third Proportional to 636,610 and 865,104

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Solution

The third proportional to 636,610 and 865,104 is: 1,175,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,610 : 865,104 = 865,104 : x
  2. Step 2: Convert to fraction form
    636,610/865,104 = 865,104/x
  3. Step 3: Cross multiply
    636,610x = 865,104 × 865,104
  4. Step 4: Simplify right side
    636,610x = 748,404,930,816
  5. Step 5: Solve for x
    x = 748,404,930,816/636,610
  6. Step 6: Final answer
    x = 1,175,609.76

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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.