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Finding the Third Proportional to 12,377.50 and 25,775

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Solution

The third proportional to 12,377.50 and 25,775 is: 53,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.50 : 25,775 = 25,775 : x
  2. Step 2: Convert to fraction form
    12,377.50/25,775 = 25,775/x
  3. Step 3: Cross multiply
    12,377.50x = 25,775 × 25,775
  4. Step 4: Simplify right side
    12,377.50x = 664,350,625
  5. Step 5: Solve for x
    x = 664,350,625/12,377.50
  6. Step 6: Final answer
    x = 53,674.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.