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Finding the Third Proportional to 3,934.50 and 5,402

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Solution

The third proportional to 3,934.50 and 5,402 is: 7,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.50 : 5,402 = 5,402 : x
  2. Step 2: Convert to fraction form
    3,934.50/5,402 = 5,402/x
  3. Step 3: Cross multiply
    3,934.50x = 5,402 × 5,402
  4. Step 4: Simplify right side
    3,934.50x = 29,181,604
  5. Step 5: Solve for x
    x = 29,181,604/3,934.50
  6. Step 6: Final answer
    x = 7,416.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.