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Finding the Third Proportional to 71,715 and 155,868

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Solution

The third proportional to 71,715 and 155,868 is: 338,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,715 : 155,868 = 155,868 : x
  2. Step 2: Convert to fraction form
    71,715/155,868 = 155,868/x
  3. Step 3: Cross multiply
    71,715x = 155,868 × 155,868
  4. Step 4: Simplify right side
    71,715x = 24,294,833,424
  5. Step 5: Solve for x
    x = 24,294,833,424/71,715
  6. Step 6: Final answer
    x = 338,769.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.