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Finding the Third Proportional to 142,337.25 and 213,414.75

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Solution

The third proportional to 142,337.25 and 213,414.75 is: 319,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,337.25 : 213,414.75 = 213,414.75 : x
  2. Step 2: Convert to fraction form
    142,337.25/213,414.75 = 213,414.75/x
  3. Step 3: Cross multiply
    142,337.25x = 213,414.75 × 213,414.75
  4. Step 4: Simplify right side
    142,337.25x = 45,545,855,517.56
  5. Step 5: Solve for x
    x = 45,545,855,517.56/142,337.25
  6. Step 6: Final answer
    x = 319,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.