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Finding the Third Proportional to 90,561 and 140,829

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Solution

The third proportional to 90,561 and 140,829 is: 218,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,561 : 140,829 = 140,829 : x
  2. Step 2: Convert to fraction form
    90,561/140,829 = 140,829/x
  3. Step 3: Cross multiply
    90,561x = 140,829 × 140,829
  4. Step 4: Simplify right side
    90,561x = 19,832,807,241
  5. Step 5: Solve for x
    x = 19,832,807,241/90,561
  6. Step 6: Final answer
    x = 218,999.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.