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Finding the Third Proportional to 10,810 and 23,750

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Solution

The third proportional to 10,810 and 23,750 is: 52,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 23,750 = 23,750 : x
  2. Step 2: Convert to fraction form
    10,810/23,750 = 23,750/x
  3. Step 3: Cross multiply
    10,810x = 23,750 × 23,750
  4. Step 4: Simplify right side
    10,810x = 564,062,500
  5. Step 5: Solve for x
    x = 564,062,500/10,810
  6. Step 6: Final answer
    x = 52,179.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.