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Finding the Third Proportional to 71,943 and 154,458

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Solution

The third proportional to 71,943 and 154,458 is: 331,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,943 : 154,458 = 154,458 : x
  2. Step 2: Convert to fraction form
    71,943/154,458 = 154,458/x
  3. Step 3: Cross multiply
    71,943x = 154,458 × 154,458
  4. Step 4: Simplify right side
    71,943x = 23,857,273,764
  5. Step 5: Solve for x
    x = 23,857,273,764/71,943
  6. Step 6: Final answer
    x = 331,613.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.