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Finding the Third Proportional to 86,474 and 126,902

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Solution

The third proportional to 86,474 and 126,902 is: 186,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474 : 126,902 = 126,902 : x
  2. Step 2: Convert to fraction form
    86,474/126,902 = 126,902/x
  3. Step 3: Cross multiply
    86,474x = 126,902 × 126,902
  4. Step 4: Simplify right side
    86,474x = 16,104,117,604
  5. Step 5: Solve for x
    x = 16,104,117,604/86,474
  6. Step 6: Final answer
    x = 186,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.