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Finding the Third Proportional to 82,809 and 129,134.25

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Solution

The third proportional to 82,809 and 129,134.25 is: 201,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809 : 129,134.25 = 129,134.25 : x
  2. Step 2: Convert to fraction form
    82,809/129,134.25 = 129,134.25/x
  3. Step 3: Cross multiply
    82,809x = 129,134.25 × 129,134.25
  4. Step 4: Simplify right side
    82,809x = 16,675,654,523.06
  5. Step 5: Solve for x
    x = 16,675,654,523.06/82,809
  6. Step 6: Final answer
    x = 201,374.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.