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Finding the Third Proportional to 324 and 679.64

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Solution

The third proportional to 324 and 679.64 is: 1,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 679.64 = 679.64 : x
  2. Step 2: Convert to fraction form
    324/679.64 = 679.64/x
  3. Step 3: Cross multiply
    324x = 679.64 × 679.64
  4. Step 4: Simplify right side
    324x = 461,911.38
  5. Step 5: Solve for x
    x = 461,911.38/324
  6. Step 6: Final answer
    x = 1,425.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.