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Finding the Third Proportional to 304.13 and 659.38

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Solution

The third proportional to 304.13 and 659.38 is: 1,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 659.38 = 659.38 : x
  2. Step 2: Convert to fraction form
    304.13/659.38 = 659.38/x
  3. Step 3: Cross multiply
    304.13x = 659.38 × 659.38
  4. Step 4: Simplify right side
    304.13x = 434,775.39
  5. Step 5: Solve for x
    x = 434,775.39/304.13
  6. Step 6: Final answer
    x = 1,429.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.