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Finding the Third Proportional to 111,251.25 and 243,438.75

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Solution

The third proportional to 111,251.25 and 243,438.75 is: 532,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,251.25 : 243,438.75 = 243,438.75 : x
  2. Step 2: Convert to fraction form
    111,251.25/243,438.75 = 243,438.75/x
  3. Step 3: Cross multiply
    111,251.25x = 243,438.75 × 243,438.75
  4. Step 4: Simplify right side
    111,251.25x = 59,262,425,001.56
  5. Step 5: Solve for x
    x = 59,262,425,001.56/111,251.25
  6. Step 6: Final answer
    x = 532,689.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.