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Finding the Third Proportional to 661.29 and 1,442.18

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Solution

The third proportional to 661.29 and 1,442.18 is: 3,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.29 : 1,442.18 = 1,442.18 : x
  2. Step 2: Convert to fraction form
    661.29/1,442.18 = 1,442.18/x
  3. Step 3: Cross multiply
    661.29x = 1,442.18 × 1,442.18
  4. Step 4: Simplify right side
    661.29x = 2,079,882.25
  5. Step 5: Solve for x
    x = 2,079,882.25/661.29
  6. Step 6: Final answer
    x = 3,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.