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Finding the Third Proportional to 143,708.63 and 217,551.38

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Solution

The third proportional to 143,708.63 and 217,551.38 is: 329,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,708.63 : 217,551.38 = 217,551.38 : x
  2. Step 2: Convert to fraction form
    143,708.63/217,551.38 = 217,551.38/x
  3. Step 3: Cross multiply
    143,708.63x = 217,551.38 × 217,551.38
  4. Step 4: Simplify right side
    143,708.63x = 47,328,600,764.39
  5. Step 5: Solve for x
    x = 47,328,600,764.39/143,708.63
  6. Step 6: Final answer
    x = 329,337.23

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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.