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Finding the Third Proportional to 451,300 and 991,177

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Solution

The third proportional to 451,300 and 991,177 is: 2,176,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,300 : 991,177 = 991,177 : x
  2. Step 2: Convert to fraction form
    451,300/991,177 = 991,177/x
  3. Step 3: Cross multiply
    451,300x = 991,177 × 991,177
  4. Step 4: Simplify right side
    451,300x = 982,431,845,329
  5. Step 5: Solve for x
    x = 982,431,845,329/451,300
  6. Step 6: Final answer
    x = 2,176,893.08

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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.