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Finding the Third Proportional to 451,298 and 991,173

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Solution

The third proportional to 451,298 and 991,173 is: 2,176,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,298 : 991,173 = 991,173 : x
  2. Step 2: Convert to fraction form
    451,298/991,173 = 991,173/x
  3. Step 3: Cross multiply
    451,298x = 991,173 × 991,173
  4. Step 4: Simplify right side
    451,298x = 982,423,915,929
  5. Step 5: Solve for x
    x = 982,423,915,929/451,298
  6. Step 6: Final answer
    x = 2,176,885.15

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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.