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Finding the Third Proportional to 4,020.75 and 5,655.38

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Solution

The third proportional to 4,020.75 and 5,655.38 is: 7,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.75 : 5,655.38 = 5,655.38 : x
  2. Step 2: Convert to fraction form
    4,020.75/5,655.38 = 5,655.38/x
  3. Step 3: Cross multiply
    4,020.75x = 5,655.38 × 5,655.38
  4. Step 4: Simplify right side
    4,020.75x = 31,983,266.39
  5. Step 5: Solve for x
    x = 31,983,266.39/4,020.75
  6. Step 6: Final answer
    x = 7,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.