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Finding the Third Proportional to 638.81 and 831.84

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Solution

The third proportional to 638.81 and 831.84 is: 1,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.81 : 831.84 = 831.84 : x
  2. Step 2: Convert to fraction form
    638.81/831.84 = 831.84/x
  3. Step 3: Cross multiply
    638.81x = 831.84 × 831.84
  4. Step 4: Simplify right side
    638.81x = 691,964.02
  5. Step 5: Solve for x
    x = 691,964.02/638.81
  6. Step 6: Final answer
    x = 1,083.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.