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Finding the Third Proportional to 4,020.75 and 5,187.38

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Solution

The third proportional to 4,020.75 and 5,187.38 is: 6,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.75 : 5,187.38 = 5,187.38 : x
  2. Step 2: Convert to fraction form
    4,020.75/5,187.38 = 5,187.38/x
  3. Step 3: Cross multiply
    4,020.75x = 5,187.38 × 5,187.38
  4. Step 4: Simplify right side
    4,020.75x = 26,908,859.39
  5. Step 5: Solve for x
    x = 26,908,859.39/4,020.75
  6. Step 6: Final answer
    x = 6,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.