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Finding the Third Proportional to 3,397.88 and 5,405.63

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Solution

The third proportional to 3,397.88 and 5,405.63 is: 8,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.88 : 5,405.63 = 5,405.63 : x
  2. Step 2: Convert to fraction form
    3,397.88/5,405.63 = 5,405.63/x
  3. Step 3: Cross multiply
    3,397.88x = 5,405.63 × 5,405.63
  4. Step 4: Simplify right side
    3,397.88x = 29,220,781.64
  5. Step 5: Solve for x
    x = 29,220,781.64/3,397.88
  6. Step 6: Final answer
    x = 8,599.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.