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Finding the Third Proportional to 3,397.50 and 5,250.94

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Solution

The third proportional to 3,397.50 and 5,250.94 is: 8,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.50 : 5,250.94 = 5,250.94 : x
  2. Step 2: Convert to fraction form
    3,397.50/5,250.94 = 5,250.94/x
  3. Step 3: Cross multiply
    3,397.50x = 5,250.94 × 5,250.94
  4. Step 4: Simplify right side
    3,397.50x = 27,572,344.63
  5. Step 5: Solve for x
    x = 27,572,344.63/3,397.50
  6. Step 6: Final answer
    x = 8,115.48

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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.