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Finding the Third Proportional to 298.53 and 654.49

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Solution

The third proportional to 298.53 and 654.49 is: 1,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 654.49 = 654.49 : x
  2. Step 2: Convert to fraction form
    298.53/654.49 = 654.49/x
  3. Step 3: Cross multiply
    298.53x = 654.49 × 654.49
  4. Step 4: Simplify right side
    298.53x = 428,352.35
  5. Step 5: Solve for x
    x = 428,352.35/298.53
  6. Step 6: Final answer
    x = 1,434.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.