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Finding the Third Proportional to 314 and 679.13

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Solution

The third proportional to 314 and 679.13 is: 1,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 679.13 = 679.13 : x
  2. Step 2: Convert to fraction form
    314/679.13 = 679.13/x
  3. Step 3: Cross multiply
    314x = 679.13 × 679.13
  4. Step 4: Simplify right side
    314x = 461,210.77
  5. Step 5: Solve for x
    x = 461,210.77/314
  6. Step 6: Final answer
    x = 1,468.82

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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.