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Finding the Third Proportional to 991.31 and 2,235.38

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Solution

The third proportional to 991.31 and 2,235.38 is: 5,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.31 : 2,235.38 = 2,235.38 : x
  2. Step 2: Convert to fraction form
    991.31/2,235.38 = 2,235.38/x
  3. Step 3: Cross multiply
    991.31x = 2,235.38 × 2,235.38
  4. Step 4: Simplify right side
    991.31x = 4,996,901.39
  5. Step 5: Solve for x
    x = 4,996,901.39/991.31
  6. Step 6: Final answer
    x = 5,040.69

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.