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Finding the Third Proportional to 3,478.88 and 5,395.13

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Solution

The third proportional to 3,478.88 and 5,395.13 is: 8,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.88 : 5,395.13 = 5,395.13 : x
  2. Step 2: Convert to fraction form
    3,478.88/5,395.13 = 5,395.13/x
  3. Step 3: Cross multiply
    3,478.88x = 5,395.13 × 5,395.13
  4. Step 4: Simplify right side
    3,478.88x = 29,107,373.77
  5. Step 5: Solve for x
    x = 29,107,373.77/3,478.88
  6. Step 6: Final answer
    x = 8,366.89

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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.