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Finding the Third Proportional to 147,436 and 220,919

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Solution

The third proportional to 147,436 and 220,919 is: 331,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,436 : 220,919 = 220,919 : x
  2. Step 2: Convert to fraction form
    147,436/220,919 = 220,919/x
  3. Step 3: Cross multiply
    147,436x = 220,919 × 220,919
  4. Step 4: Simplify right side
    147,436x = 48,805,204,561
  5. Step 5: Solve for x
    x = 48,805,204,561/147,436
  6. Step 6: Final answer
    x = 331,026.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.