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Finding the Third Proportional to 129,745 and 165,787

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Solution

The third proportional to 129,745 and 165,787 is: 211,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,745 : 165,787 = 165,787 : x
  2. Step 2: Convert to fraction form
    129,745/165,787 = 165,787/x
  3. Step 3: Cross multiply
    129,745x = 165,787 × 165,787
  4. Step 4: Simplify right side
    129,745x = 27,485,329,369
  5. Step 5: Solve for x
    x = 27,485,329,369/129,745
  6. Step 6: Final answer
    x = 211,841.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.