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Finding the Third Proportional to 129,708 and 165,736.13

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Solution

The third proportional to 129,708 and 165,736.13 is: 211,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,708 : 165,736.13 = 165,736.13 : x
  2. Step 2: Convert to fraction form
    129,708/165,736.13 = 165,736.13/x
  3. Step 3: Cross multiply
    129,708x = 165,736.13 × 165,736.13
  4. Step 4: Simplify right side
    129,708x = 27,468,463,130.02
  5. Step 5: Solve for x
    x = 27,468,463,130.02/129,708
  6. Step 6: Final answer
    x = 211,771.54

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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.