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Finding the Third Proportional to 328.31 and 709.69

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Solution

The third proportional to 328.31 and 709.69 is: 1,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.31 : 709.69 = 709.69 : x
  2. Step 2: Convert to fraction form
    328.31/709.69 = 709.69/x
  3. Step 3: Cross multiply
    328.31x = 709.69 × 709.69
  4. Step 4: Simplify right side
    328.31x = 503,656.35
  5. Step 5: Solve for x
    x = 503,656.35/328.31
  6. Step 6: Final answer
    x = 1,534.08

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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.