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Finding the Third Proportional to 11,902.50 and 22,725

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Solution

The third proportional to 11,902.50 and 22,725 is: 43,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.50 : 22,725 = 22,725 : x
  2. Step 2: Convert to fraction form
    11,902.50/22,725 = 22,725/x
  3. Step 3: Cross multiply
    11,902.50x = 22,725 × 22,725
  4. Step 4: Simplify right side
    11,902.50x = 516,425,625
  5. Step 5: Solve for x
    x = 516,425,625/11,902.50
  6. Step 6: Final answer
    x = 43,388.00

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.