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Finding the Third Proportional to 71,931.75 and 107,898.75

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Solution

The third proportional to 71,931.75 and 107,898.75 is: 161,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.75 : 107,898.75 = 107,898.75 : x
  2. Step 2: Convert to fraction form
    71,931.75/107,898.75 = 107,898.75/x
  3. Step 3: Cross multiply
    71,931.75x = 107,898.75 × 107,898.75
  4. Step 4: Simplify right side
    71,931.75x = 11,642,140,251.56
  5. Step 5: Solve for x
    x = 11,642,140,251.56/71,931.75
  6. Step 6: Final answer
    x = 161,849.81

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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.