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Finding the Third Proportional to 71,860 and 151,161

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Solution

The third proportional to 71,860 and 151,161 is: 317,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,860 : 151,161 = 151,161 : x
  2. Step 2: Convert to fraction form
    71,860/151,161 = 151,161/x
  3. Step 3: Cross multiply
    71,860x = 151,161 × 151,161
  4. Step 4: Simplify right side
    71,860x = 22,849,647,921
  5. Step 5: Solve for x
    x = 22,849,647,921/71,860
  6. Step 6: Final answer
    x = 317,974.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.