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Finding the Third Proportional to 142,677.38 and 221,229.56

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Solution

The third proportional to 142,677.38 and 221,229.56 is: 343,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,677.38 : 221,229.56 = 221,229.56 : x
  2. Step 2: Convert to fraction form
    142,677.38/221,229.56 = 221,229.56/x
  3. Step 3: Cross multiply
    142,677.38x = 221,229.56 × 221,229.56
  4. Step 4: Simplify right side
    142,677.38x = 48,942,519,323.94
  5. Step 5: Solve for x
    x = 48,942,519,323.94/142,677.38
  6. Step 6: Final answer
    x = 343,029.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.