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Finding the Third Proportional to 71,778 and 153,372

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Solution

The third proportional to 71,778 and 153,372 is: 327,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778 : 153,372 = 153,372 : x
  2. Step 2: Convert to fraction form
    71,778/153,372 = 153,372/x
  3. Step 3: Cross multiply
    71,778x = 153,372 × 153,372
  4. Step 4: Simplify right side
    71,778x = 23,522,970,384
  5. Step 5: Solve for x
    x = 23,522,970,384/71,778
  6. Step 6: Final answer
    x = 327,718.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.