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Finding the Third Proportional to 90,286.50 and 140,427

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Solution

The third proportional to 90,286.50 and 140,427 is: 218,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,286.50 : 140,427 = 140,427 : x
  2. Step 2: Convert to fraction form
    90,286.50/140,427 = 140,427/x
  3. Step 3: Cross multiply
    90,286.50x = 140,427 × 140,427
  4. Step 4: Simplify right side
    90,286.50x = 19,719,742,329
  5. Step 5: Solve for x
    x = 19,719,742,329/90,286.50
  6. Step 6: Final answer
    x = 218,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.