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Finding the Third Proportional to 81,432 and 119,230

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Solution

The third proportional to 81,432 and 119,230 is: 174,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432 : 119,230 = 119,230 : x
  2. Step 2: Convert to fraction form
    81,432/119,230 = 119,230/x
  3. Step 3: Cross multiply
    81,432x = 119,230 × 119,230
  4. Step 4: Simplify right side
    81,432x = 14,215,792,900
  5. Step 5: Solve for x
    x = 14,215,792,900/81,432
  6. Step 6: Final answer
    x = 174,572.56

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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.