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Finding the Third Proportional to 27,990 and 61,506

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Solution

The third proportional to 27,990 and 61,506 is: 135,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990 : 61,506 = 61,506 : x
  2. Step 2: Convert to fraction form
    27,990/61,506 = 61,506/x
  3. Step 3: Cross multiply
    27,990x = 61,506 × 61,506
  4. Step 4: Simplify right side
    27,990x = 3,782,988,036
  5. Step 5: Solve for x
    x = 3,782,988,036/27,990
  6. Step 6: Final answer
    x = 135,154.99

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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.