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Finding the Third Proportional to 664.22 and 1,428.81

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Solution

The third proportional to 664.22 and 1,428.81 is: 3,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.22 : 1,428.81 = 1,428.81 : x
  2. Step 2: Convert to fraction form
    664.22/1,428.81 = 1,428.81/x
  3. Step 3: Cross multiply
    664.22x = 1,428.81 × 1,428.81
  4. Step 4: Simplify right side
    664.22x = 2,041,502.37
  5. Step 5: Solve for x
    x = 2,041,502.37/664.22
  6. Step 6: Final answer
    x = 3,073.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.