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Finding the Third Proportional to 456.73 and 864.11

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Solution

The third proportional to 456.73 and 864.11 is: 1,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.73 : 864.11 = 864.11 : x
  2. Step 2: Convert to fraction form
    456.73/864.11 = 864.11/x
  3. Step 3: Cross multiply
    456.73x = 864.11 × 864.11
  4. Step 4: Simplify right side
    456.73x = 746,678.26
  5. Step 5: Solve for x
    x = 746,678.26/456.73
  6. Step 6: Final answer
    x = 1,634.83

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.