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Finding the Third Proportional to 304.13 and 659.63

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Solution

The third proportional to 304.13 and 659.63 is: 1,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 659.63 = 659.63 : x
  2. Step 2: Convert to fraction form
    304.13/659.63 = 659.63/x
  3. Step 3: Cross multiply
    304.13x = 659.63 × 659.63
  4. Step 4: Simplify right side
    304.13x = 435,105.14
  5. Step 5: Solve for x
    x = 435,105.14/304.13
  6. Step 6: Final answer
    x = 1,430.68

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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.