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Finding the Third Proportional to 143,704.13 and 217,560.94

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Solution

The third proportional to 143,704.13 and 217,560.94 is: 329,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,704.13 : 217,560.94 = 217,560.94 : x
  2. Step 2: Convert to fraction form
    143,704.13/217,560.94 = 217,560.94/x
  3. Step 3: Cross multiply
    143,704.13x = 217,560.94 × 217,560.94
  4. Step 4: Simplify right side
    143,704.13x = 47,332,761,525.88
  5. Step 5: Solve for x
    x = 47,332,761,525.88/143,704.13
  6. Step 6: Final answer
    x = 329,376.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.