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Finding the Third Proportional to 47,990 and 76,670

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Solution

The third proportional to 47,990 and 76,670 is: 122,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990 : 76,670 = 76,670 : x
  2. Step 2: Convert to fraction form
    47,990/76,670 = 76,670/x
  3. Step 3: Cross multiply
    47,990x = 76,670 × 76,670
  4. Step 4: Simplify right side
    47,990x = 5,878,288,900
  5. Step 5: Solve for x
    x = 5,878,288,900/47,990
  6. Step 6: Final answer
    x = 122,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.