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Finding the Third Proportional to 302.74 and 656.84

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Solution

The third proportional to 302.74 and 656.84 is: 1,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 656.84 = 656.84 : x
  2. Step 2: Convert to fraction form
    302.74/656.84 = 656.84/x
  3. Step 3: Cross multiply
    302.74x = 656.84 × 656.84
  4. Step 4: Simplify right side
    302.74x = 431,439.88
  5. Step 5: Solve for x
    x = 431,439.88/302.74
  6. Step 6: Final answer
    x = 1,425.11

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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.