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Finding the Third Proportional to 438.68 and 959.79

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Solution

The third proportional to 438.68 and 959.79 is: 2,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.68 : 959.79 = 959.79 : x
  2. Step 2: Convert to fraction form
    438.68/959.79 = 959.79/x
  3. Step 3: Cross multiply
    438.68x = 959.79 × 959.79
  4. Step 4: Simplify right side
    438.68x = 921,195.04
  5. Step 5: Solve for x
    x = 921,195.04/438.68
  6. Step 6: Final answer
    x = 2,099.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.