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Finding the Third Proportional to 66,122 and 87,711

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Solution

The third proportional to 66,122 and 87,711 is: 116,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,122 : 87,711 = 87,711 : x
  2. Step 2: Convert to fraction form
    66,122/87,711 = 87,711/x
  3. Step 3: Cross multiply
    66,122x = 87,711 × 87,711
  4. Step 4: Simplify right side
    66,122x = 7,693,219,521
  5. Step 5: Solve for x
    x = 7,693,219,521/66,122
  6. Step 6: Final answer
    x = 116,348.86

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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.