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Finding the Third Proportional to 61,672 and 81,990

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Solution

The third proportional to 61,672 and 81,990 is: 109,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,672 : 81,990 = 81,990 : x
  2. Step 2: Convert to fraction form
    61,672/81,990 = 81,990/x
  3. Step 3: Cross multiply
    61,672x = 81,990 × 81,990
  4. Step 4: Simplify right side
    61,672x = 6,722,360,100
  5. Step 5: Solve for x
    x = 6,722,360,100/61,672
  6. Step 6: Final answer
    x = 109,001.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.