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Finding the Third Proportional to 661.88 and 1,428.38

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Solution

The third proportional to 661.88 and 1,428.38 is: 3,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 1,428.38 = 1,428.38 : x
  2. Step 2: Convert to fraction form
    661.88/1,428.38 = 1,428.38/x
  3. Step 3: Cross multiply
    661.88x = 1,428.38 × 1,428.38
  4. Step 4: Simplify right side
    661.88x = 2,040,255.14
  5. Step 5: Solve for x
    x = 2,040,255.14/661.88
  6. Step 6: Final answer
    x = 3,082.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.