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Finding the Third Proportional to 661.92 and 1,305.28

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Solution

The third proportional to 661.92 and 1,305.28 is: 2,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 1,305.28 = 1,305.28 : x
  2. Step 2: Convert to fraction form
    661.92/1,305.28 = 1,305.28/x
  3. Step 3: Cross multiply
    661.92x = 1,305.28 × 1,305.28
  4. Step 4: Simplify right side
    661.92x = 1,703,759.14
  5. Step 5: Solve for x
    x = 1,703,759.14/661.92
  6. Step 6: Final answer
    x = 2,573.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.