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Finding the Third Proportional to 120,870 and 169,911

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Solution

The third proportional to 120,870 and 169,911 is: 238,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,870 : 169,911 = 169,911 : x
  2. Step 2: Convert to fraction form
    120,870/169,911 = 169,911/x
  3. Step 3: Cross multiply
    120,870x = 169,911 × 169,911
  4. Step 4: Simplify right side
    120,870x = 28,869,747,921
  5. Step 5: Solve for x
    x = 28,869,747,921/120,870
  6. Step 6: Final answer
    x = 238,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.