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Finding the Third Proportional to 664.29 and 1,454.47

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Solution

The third proportional to 664.29 and 1,454.47 is: 3,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 1,454.47 = 1,454.47 : x
  2. Step 2: Convert to fraction form
    664.29/1,454.47 = 1,454.47/x
  3. Step 3: Cross multiply
    664.29x = 1,454.47 × 1,454.47
  4. Step 4: Simplify right side
    664.29x = 2,115,473.66
  5. Step 5: Solve for x
    x = 2,115,473.66/664.29
  6. Step 6: Final answer
    x = 3,184.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.