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Finding the Third Proportional to 451,306.13 and 991,190.25

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Solution

The third proportional to 451,306.13 and 991,190.25 is: 2,176,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,306.13 : 991,190.25 = 991,190.25 : x
  2. Step 2: Convert to fraction form
    451,306.13/991,190.25 = 991,190.25/x
  3. Step 3: Cross multiply
    451,306.13x = 991,190.25 × 991,190.25
  4. Step 4: Simplify right side
    451,306.13x = 982,458,111,695.06
  5. Step 5: Solve for x
    x = 982,458,111,695.06/451,306.13
  6. Step 6: Final answer
    x = 2,176,921.73

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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.