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Finding the Third Proportional to 5,342 and 11,503

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Solution

The third proportional to 5,342 and 11,503 is: 24,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342 : 11,503 = 11,503 : x
  2. Step 2: Convert to fraction form
    5,342/11,503 = 11,503/x
  3. Step 3: Cross multiply
    5,342x = 11,503 × 11,503
  4. Step 4: Simplify right side
    5,342x = 132,319,009
  5. Step 5: Solve for x
    x = 132,319,009/5,342
  6. Step 6: Final answer
    x = 24,769.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.