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Finding the Third Proportional to 310.71 and 664.61

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Solution

The third proportional to 310.71 and 664.61 is: 1,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 664.61 = 664.61 : x
  2. Step 2: Convert to fraction form
    310.71/664.61 = 664.61/x
  3. Step 3: Cross multiply
    310.71x = 664.61 × 664.61
  4. Step 4: Simplify right side
    310.71x = 441,708.22
  5. Step 5: Solve for x
    x = 441,708.22/310.71
  6. Step 6: Final answer
    x = 1,421.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.