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Finding the Third Proportional to 319.71 and 695.73

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Solution

The third proportional to 319.71 and 695.73 is: 1,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 695.73 = 695.73 : x
  2. Step 2: Convert to fraction form
    319.71/695.73 = 695.73/x
  3. Step 3: Cross multiply
    319.71x = 695.73 × 695.73
  4. Step 4: Simplify right side
    319.71x = 484,046.78
  5. Step 5: Solve for x
    x = 484,046.78/319.71
  6. Step 6: Final answer
    x = 1,514.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.