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Finding the Third Proportional to 10,138 and 11,650

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Solution

The third proportional to 10,138 and 11,650 is: 13,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 11,650 = 11,650 : x
  2. Step 2: Convert to fraction form
    10,138/11,650 = 11,650/x
  3. Step 3: Cross multiply
    10,138x = 11,650 × 11,650
  4. Step 4: Simplify right side
    10,138x = 135,722,500
  5. Step 5: Solve for x
    x = 135,722,500/10,138
  6. Step 6: Final answer
    x = 13,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.