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Finding the Third Proportional to 207.81 and 455.56

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Solution

The third proportional to 207.81 and 455.56 is: 998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.81 : 455.56 = 455.56 : x
  2. Step 2: Convert to fraction form
    207.81/455.56 = 455.56/x
  3. Step 3: Cross multiply
    207.81x = 455.56 × 455.56
  4. Step 4: Simplify right side
    207.81x = 207,537.19
  5. Step 5: Solve for x
    x = 207,537.19/207.81
  6. Step 6: Final answer
    x = 998.68

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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.