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Finding the Third Proportional to 451,283 and 991,126

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Solution

The third proportional to 451,283 and 991,126 is: 2,176,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,283 : 991,126 = 991,126 : x
  2. Step 2: Convert to fraction form
    451,283/991,126 = 991,126/x
  3. Step 3: Cross multiply
    451,283x = 991,126 × 991,126
  4. Step 4: Simplify right side
    451,283x = 982,330,747,876
  5. Step 5: Solve for x
    x = 982,330,747,876/451,283
  6. Step 6: Final answer
    x = 2,176,751.06

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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.