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Finding the Third Proportional to 82,992 and 129,670

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Solution

The third proportional to 82,992 and 129,670 is: 202,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 129,670 = 129,670 : x
  2. Step 2: Convert to fraction form
    82,992/129,670 = 129,670/x
  3. Step 3: Cross multiply
    82,992x = 129,670 × 129,670
  4. Step 4: Simplify right side
    82,992x = 16,814,308,900
  5. Step 5: Solve for x
    x = 16,814,308,900/82,992
  6. Step 6: Final answer
    x = 202,601.56

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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.