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Finding the Third Proportional to 83,016.56 and 124,543.13

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Solution

The third proportional to 83,016.56 and 124,543.13 is: 186,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016.56 : 124,543.13 = 124,543.13 : x
  2. Step 2: Convert to fraction form
    83,016.56/124,543.13 = 124,543.13/x
  3. Step 3: Cross multiply
    83,016.56x = 124,543.13 × 124,543.13
  4. Step 4: Simplify right side
    83,016.56x = 15,510,989,984.77
  5. Step 5: Solve for x
    x = 15,510,989,984.77/83,016.56
  6. Step 6: Final answer
    x = 186,842.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.