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Finding the Third Proportional to 3,024.75 and 3,642.38

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Solution

The third proportional to 3,024.75 and 3,642.38 is: 4,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.75 : 3,642.38 = 3,642.38 : x
  2. Step 2: Convert to fraction form
    3,024.75/3,642.38 = 3,642.38/x
  3. Step 3: Cross multiply
    3,024.75x = 3,642.38 × 3,642.38
  4. Step 4: Simplify right side
    3,024.75x = 13,266,895.64
  5. Step 5: Solve for x
    x = 13,266,895.64/3,024.75
  6. Step 6: Final answer
    x = 4,386.11

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.