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Finding the Third Proportional to 302.98 and 454.04

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Solution

The third proportional to 302.98 and 454.04 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 454.04 = 454.04 : x
  2. Step 2: Convert to fraction form
    302.98/454.04 = 454.04/x
  3. Step 3: Cross multiply
    302.98x = 454.04 × 454.04
  4. Step 4: Simplify right side
    302.98x = 206,155.02
  5. Step 5: Solve for x
    x = 206,155.02/302.98
  6. Step 6: Final answer
    x = 680.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.