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Finding the Third Proportional to 71,078 and 154,876

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Solution

The third proportional to 71,078 and 154,876 is: 337,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,078 : 154,876 = 154,876 : x
  2. Step 2: Convert to fraction form
    71,078/154,876 = 154,876/x
  3. Step 3: Cross multiply
    71,078x = 154,876 × 154,876
  4. Step 4: Simplify right side
    71,078x = 23,986,575,376
  5. Step 5: Solve for x
    x = 23,986,575,376/71,078
  6. Step 6: Final answer
    x = 337,468.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.