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Finding the Third Proportional to 109,558 and 156,561

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Solution

The third proportional to 109,558 and 156,561 is: 223,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,558 : 156,561 = 156,561 : x
  2. Step 2: Convert to fraction form
    109,558/156,561 = 156,561/x
  3. Step 3: Cross multiply
    109,558x = 156,561 × 156,561
  4. Step 4: Simplify right side
    109,558x = 24,511,346,721
  5. Step 5: Solve for x
    x = 24,511,346,721/109,558
  6. Step 6: Final answer
    x = 223,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.