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Finding the Third Proportional to 51,086 and 71,522

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Solution

The third proportional to 51,086 and 71,522 is: 100,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,086 : 71,522 = 71,522 : x
  2. Step 2: Convert to fraction form
    51,086/71,522 = 71,522/x
  3. Step 3: Cross multiply
    51,086x = 71,522 × 71,522
  4. Step 4: Simplify right side
    51,086x = 5,115,396,484
  5. Step 5: Solve for x
    x = 5,115,396,484/51,086
  6. Step 6: Final answer
    x = 100,133.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.