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Finding the Third Proportional to 143,701.88 and 217,540.69

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Solution

The third proportional to 143,701.88 and 217,540.69 is: 329,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,701.88 : 217,540.69 = 217,540.69 : x
  2. Step 2: Convert to fraction form
    143,701.88/217,540.69 = 217,540.69/x
  3. Step 3: Cross multiply
    143,701.88x = 217,540.69 × 217,540.69
  4. Step 4: Simplify right side
    143,701.88x = 47,323,950,717.97
  5. Step 5: Solve for x
    x = 47,323,950,717.97/143,701.88
  6. Step 6: Final answer
    x = 329,320.34

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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.