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Finding the Third Proportional to 27,447 and 42,372

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Solution

The third proportional to 27,447 and 42,372 is: 65,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447 : 42,372 = 42,372 : x
  2. Step 2: Convert to fraction form
    27,447/42,372 = 42,372/x
  3. Step 3: Cross multiply
    27,447x = 42,372 × 42,372
  4. Step 4: Simplify right side
    27,447x = 1,795,386,384
  5. Step 5: Solve for x
    x = 1,795,386,384/27,447
  6. Step 6: Final answer
    x = 65,412.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.