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Finding the Third Proportional to 731.81 and 1,008.84

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Solution

The third proportional to 731.81 and 1,008.84 is: 1,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,008.84 = 1,008.84 : x
  2. Step 2: Convert to fraction form
    731.81/1,008.84 = 1,008.84/x
  3. Step 3: Cross multiply
    731.81x = 1,008.84 × 1,008.84
  4. Step 4: Simplify right side
    731.81x = 1,017,765.71
  5. Step 5: Solve for x
    x = 1,017,765.71/731.81
  6. Step 6: Final answer
    x = 1,390.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.