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Finding the Third Proportional to 3,138.80 and 4,748.70

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Solution

The third proportional to 3,138.80 and 4,748.70 is: 7,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.80 : 4,748.70 = 4,748.70 : x
  2. Step 2: Convert to fraction form
    3,138.80/4,748.70 = 4,748.70/x
  3. Step 3: Cross multiply
    3,138.80x = 4,748.70 × 4,748.70
  4. Step 4: Simplify right side
    3,138.80x = 22,550,190.64
  5. Step 5: Solve for x
    x = 22,550,190.64/3,138.80
  6. Step 6: Final answer
    x = 7,184.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.