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Finding the Third Proportional to 451,326.94 and 991,219.78

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Solution

The third proportional to 451,326.94 and 991,219.78 is: 2,176,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,326.94 : 991,219.78 = 991,219.78 : x
  2. Step 2: Convert to fraction form
    451,326.94/991,219.78 = 991,219.78/x
  3. Step 3: Cross multiply
    451,326.94x = 991,219.78 × 991,219.78
  4. Step 4: Simplify right side
    451,326.94x = 982,516,654,741.30
  5. Step 5: Solve for x
    x = 982,516,654,741.30/451,326.94
  6. Step 6: Final answer
    x = 2,176,951.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.