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Finding the Third Proportional to 3,989.70 and 6,373.79

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Solution

The third proportional to 3,989.70 and 6,373.79 is: 10,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.70 : 6,373.79 = 6,373.79 : x
  2. Step 2: Convert to fraction form
    3,989.70/6,373.79 = 6,373.79/x
  3. Step 3: Cross multiply
    3,989.70x = 6,373.79 × 6,373.79
  4. Step 4: Simplify right side
    3,989.70x = 40,625,184.29
  5. Step 5: Solve for x
    x = 40,625,184.29/3,989.70
  6. Step 6: Final answer
    x = 10,182.52

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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.