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Finding the Third Proportional to 207.09 and 472.22

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Solution

The third proportional to 207.09 and 472.22 is: 1,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 472.22 = 472.22 : x
  2. Step 2: Convert to fraction form
    207.09/472.22 = 472.22/x
  3. Step 3: Cross multiply
    207.09x = 472.22 × 472.22
  4. Step 4: Simplify right side
    207.09x = 222,990.55
  5. Step 5: Solve for x
    x = 222,990.55/207.09
  6. Step 6: Final answer
    x = 1,076.76

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.