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Finding the Third Proportional to 96,220.13 and 144,381.38

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Solution

The third proportional to 96,220.13 and 144,381.38 is: 216,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,220.13 : 144,381.38 = 144,381.38 : x
  2. Step 2: Convert to fraction form
    96,220.13/144,381.38 = 144,381.38/x
  3. Step 3: Cross multiply
    96,220.13x = 144,381.38 × 144,381.38
  4. Step 4: Simplify right side
    96,220.13x = 20,845,981,446.89
  5. Step 5: Solve for x
    x = 20,845,981,446.89/96,220.13
  6. Step 6: Final answer
    x = 216,648.87

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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.