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Finding the Third Proportional to 38,948 and 83,080

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Solution

The third proportional to 38,948 and 83,080 is: 177,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948 : 83,080 = 83,080 : x
  2. Step 2: Convert to fraction form
    38,948/83,080 = 83,080/x
  3. Step 3: Cross multiply
    38,948x = 83,080 × 83,080
  4. Step 4: Simplify right side
    38,948x = 6,902,286,400
  5. Step 5: Solve for x
    x = 6,902,286,400/38,948
  6. Step 6: Final answer
    x = 177,217.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.