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Finding the Third Proportional to 451,334 and 991,228

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Solution

The third proportional to 451,334 and 991,228 is: 2,176,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,334 : 991,228 = 991,228 : x
  2. Step 2: Convert to fraction form
    451,334/991,228 = 991,228/x
  3. Step 3: Cross multiply
    451,334x = 991,228 × 991,228
  4. Step 4: Simplify right side
    451,334x = 982,532,947,984
  5. Step 5: Solve for x
    x = 982,532,947,984/451,334
  6. Step 6: Final answer
    x = 2,176,953.09

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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.