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Finding the Third Proportional to 819.07 and 905.13

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Solution

The third proportional to 819.07 and 905.13 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.07 : 905.13 = 905.13 : x
  2. Step 2: Convert to fraction form
    819.07/905.13 = 905.13/x
  3. Step 3: Cross multiply
    819.07x = 905.13 × 905.13
  4. Step 4: Simplify right side
    819.07x = 819,265.41
  5. Step 5: Solve for x
    x = 819,265.41/819.07
  6. Step 6: Final answer
    x = 1,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.