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Finding the Third Proportional to 444.13 and 851.38

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Solution

The third proportional to 444.13 and 851.38 is: 1,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.13 : 851.38 = 851.38 : x
  2. Step 2: Convert to fraction form
    444.13/851.38 = 851.38/x
  3. Step 3: Cross multiply
    444.13x = 851.38 × 851.38
  4. Step 4: Simplify right side
    444.13x = 724,839.39
  5. Step 5: Solve for x
    x = 724,839.39/444.13
  6. Step 6: Final answer
    x = 1,632.06

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.