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Finding the Third Proportional to 143,951.63 and 217,909.13

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Solution

The third proportional to 143,951.63 and 217,909.13 is: 329,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,951.63 : 217,909.13 = 217,909.13 : x
  2. Step 2: Convert to fraction form
    143,951.63/217,909.13 = 217,909.13/x
  3. Step 3: Cross multiply
    143,951.63x = 217,909.13 × 217,909.13
  4. Step 4: Simplify right side
    143,951.63x = 47,484,386,758.27
  5. Step 5: Solve for x
    x = 47,484,386,758.27/143,951.63
  6. Step 6: Final answer
    x = 329,863.50

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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.