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Finding the Third Proportional to 10,536.50 and 22,439

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Solution

The third proportional to 10,536.50 and 22,439 is: 47,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.50 : 22,439 = 22,439 : x
  2. Step 2: Convert to fraction form
    10,536.50/22,439 = 22,439/x
  3. Step 3: Cross multiply
    10,536.50x = 22,439 × 22,439
  4. Step 4: Simplify right side
    10,536.50x = 503,508,721
  5. Step 5: Solve for x
    x = 503,508,721/10,536.50
  6. Step 6: Final answer
    x = 47,787.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.