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Finding the Third Proportional to 207.56 and 451.04

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Solution

The third proportional to 207.56 and 451.04 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 451.04 = 451.04 : x
  2. Step 2: Convert to fraction form
    207.56/451.04 = 451.04/x
  3. Step 3: Cross multiply
    207.56x = 451.04 × 451.04
  4. Step 4: Simplify right side
    207.56x = 203,434.47
  5. Step 5: Solve for x
    x = 203,434.47/207.56
  6. Step 6: Final answer
    x = 980.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.