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Finding the Third Proportional to 207.69 and 455.31

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Solution

The third proportional to 207.69 and 455.31 is: 998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 455.31 = 455.31 : x
  2. Step 2: Convert to fraction form
    207.69/455.31 = 455.31/x
  3. Step 3: Cross multiply
    207.69x = 455.31 × 455.31
  4. Step 4: Simplify right side
    207.69x = 207,309.47
  5. Step 5: Solve for x
    x = 207,309.47/207.69
  6. Step 6: Final answer
    x = 998.18

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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.