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Finding the Third Proportional to 664.61 and 1,444.39

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Solution

The third proportional to 664.61 and 1,444.39 is: 3,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 1,444.39 = 1,444.39 : x
  2. Step 2: Convert to fraction form
    664.61/1,444.39 = 1,444.39/x
  3. Step 3: Cross multiply
    664.61x = 1,444.39 × 1,444.39
  4. Step 4: Simplify right side
    664.61x = 2,086,275.56
  5. Step 5: Solve for x
    x = 2,086,275.56/664.61
  6. Step 6: Final answer
    x = 3,139.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.