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Finding the Third Proportional to 27,981 and 61,488

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Solution

The third proportional to 27,981 and 61,488 is: 135,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981 : 61,488 = 61,488 : x
  2. Step 2: Convert to fraction form
    27,981/61,488 = 61,488/x
  3. Step 3: Cross multiply
    27,981x = 61,488 × 61,488
  4. Step 4: Simplify right side
    27,981x = 3,780,774,144
  5. Step 5: Solve for x
    x = 3,780,774,144/27,981
  6. Step 6: Final answer
    x = 135,119.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.