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Finding the Third Proportional to 81,702 and 119,310

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Solution

The third proportional to 81,702 and 119,310 is: 174,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702 : 119,310 = 119,310 : x
  2. Step 2: Convert to fraction form
    81,702/119,310 = 119,310/x
  3. Step 3: Cross multiply
    81,702x = 119,310 × 119,310
  4. Step 4: Simplify right side
    81,702x = 14,234,876,100
  5. Step 5: Solve for x
    x = 14,234,876,100/81,702
  6. Step 6: Final answer
    x = 174,229.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.