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Finding the Third Proportional to 314.65 and 679.92

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Solution

The third proportional to 314.65 and 679.92 is: 1,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.65 : 679.92 = 679.92 : x
  2. Step 2: Convert to fraction form
    314.65/679.92 = 679.92/x
  3. Step 3: Cross multiply
    314.65x = 679.92 × 679.92
  4. Step 4: Simplify right side
    314.65x = 462,293.76
  5. Step 5: Solve for x
    x = 462,293.76/314.65
  6. Step 6: Final answer
    x = 1,469.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.