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Finding the Third Proportional to 247,530 and 542,394

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Solution

The third proportional to 247,530 and 542,394 is: 1,188,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,530 : 542,394 = 542,394 : x
  2. Step 2: Convert to fraction form
    247,530/542,394 = 542,394/x
  3. Step 3: Cross multiply
    247,530x = 542,394 × 542,394
  4. Step 4: Simplify right side
    247,530x = 294,191,251,236
  5. Step 5: Solve for x
    x = 294,191,251,236/247,530
  6. Step 6: Final answer
    x = 1,188,507.46

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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.