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Finding the Third Proportional to 459.38 and 991.44

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Solution

The third proportional to 459.38 and 991.44 is: 2,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 991.44 = 991.44 : x
  2. Step 2: Convert to fraction form
    459.38/991.44 = 991.44/x
  3. Step 3: Cross multiply
    459.38x = 991.44 × 991.44
  4. Step 4: Simplify right side
    459.38x = 982,948.32
  5. Step 5: Solve for x
    x = 982,948.32/459.38
  6. Step 6: Final answer
    x = 2,139.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.