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Finding the Third Proportional to 111,711 and 156,265

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Solution

The third proportional to 111,711 and 156,265 is: 218,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,711 : 156,265 = 156,265 : x
  2. Step 2: Convert to fraction form
    111,711/156,265 = 156,265/x
  3. Step 3: Cross multiply
    111,711x = 156,265 × 156,265
  4. Step 4: Simplify right side
    111,711x = 24,418,750,225
  5. Step 5: Solve for x
    x = 24,418,750,225/111,711
  6. Step 6: Final answer
    x = 218,588.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.