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Finding the Third Proportional to 207.88 and 454.20

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Solution

The third proportional to 207.88 and 454.20 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 454.20 = 454.20 : x
  2. Step 2: Convert to fraction form
    207.88/454.20 = 454.20/x
  3. Step 3: Cross multiply
    207.88x = 454.20 × 454.20
  4. Step 4: Simplify right side
    207.88x = 206,298.70
  5. Step 5: Solve for x
    x = 206,298.70/207.88
  6. Step 6: Final answer
    x = 992.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.