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Finding the Third Proportional to 84,706 and 111,387

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Solution

The third proportional to 84,706 and 111,387 is: 146,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706 : 111,387 = 111,387 : x
  2. Step 2: Convert to fraction form
    84,706/111,387 = 111,387/x
  3. Step 3: Cross multiply
    84,706x = 111,387 × 111,387
  4. Step 4: Simplify right side
    84,706x = 12,407,063,769
  5. Step 5: Solve for x
    x = 12,407,063,769/84,706
  6. Step 6: Final answer
    x = 146,472.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.