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Finding the Third Proportional to 3,781.50 and 4,922.25

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Solution

The third proportional to 3,781.50 and 4,922.25 is: 6,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.50 : 4,922.25 = 4,922.25 : x
  2. Step 2: Convert to fraction form
    3,781.50/4,922.25 = 4,922.25/x
  3. Step 3: Cross multiply
    3,781.50x = 4,922.25 × 4,922.25
  4. Step 4: Simplify right side
    3,781.50x = 24,228,545.06
  5. Step 5: Solve for x
    x = 24,228,545.06/3,781.50
  6. Step 6: Final answer
    x = 6,407.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.