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Finding the Third Proportional to 49,990 and 77,374

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Solution

The third proportional to 49,990 and 77,374 is: 119,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,990 : 77,374 = 77,374 : x
  2. Step 2: Convert to fraction form
    49,990/77,374 = 77,374/x
  3. Step 3: Cross multiply
    49,990x = 77,374 × 77,374
  4. Step 4: Simplify right side
    49,990x = 5,986,735,876
  5. Step 5: Solve for x
    x = 5,986,735,876/49,990
  6. Step 6: Final answer
    x = 119,758.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.