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Finding the Third Proportional to 299.67 and 630.14

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Solution

The third proportional to 299.67 and 630.14 is: 1,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 630.14 = 630.14 : x
  2. Step 2: Convert to fraction form
    299.67/630.14 = 630.14/x
  3. Step 3: Cross multiply
    299.67x = 630.14 × 630.14
  4. Step 4: Simplify right side
    299.67x = 397,077.21
  5. Step 5: Solve for x
    x = 397,077.21/299.67
  6. Step 6: Final answer
    x = 1,325.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.