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Finding the Third Proportional to 306.98 and 630.14

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Solution

The third proportional to 306.98 and 630.14 is: 1,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 630.14 = 630.14 : x
  2. Step 2: Convert to fraction form
    306.98/630.14 = 630.14/x
  3. Step 3: Cross multiply
    306.98x = 630.14 × 630.14
  4. Step 4: Simplify right side
    306.98x = 397,077.21
  5. Step 5: Solve for x
    x = 397,077.21/306.98
  6. Step 6: Final answer
    x = 1,293.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.