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Finding the Third Proportional to 3,729.80 and 4,319.58

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Solution

The third proportional to 3,729.80 and 4,319.58 is: 5,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.80 : 4,319.58 = 4,319.58 : x
  2. Step 2: Convert to fraction form
    3,729.80/4,319.58 = 4,319.58/x
  3. Step 3: Cross multiply
    3,729.80x = 4,319.58 × 4,319.58
  4. Step 4: Simplify right side
    3,729.80x = 18,658,755.18
  5. Step 5: Solve for x
    x = 18,658,755.18/3,729.80
  6. Step 6: Final answer
    x = 5,002.62

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.