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Finding the Third Proportional to 451,338 and 991,236

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Solution

The third proportional to 451,338 and 991,236 is: 2,176,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,338 : 991,236 = 991,236 : x
  2. Step 2: Convert to fraction form
    451,338/991,236 = 991,236/x
  3. Step 3: Cross multiply
    451,338x = 991,236 × 991,236
  4. Step 4: Simplify right side
    451,338x = 982,548,807,696
  5. Step 5: Solve for x
    x = 982,548,807,696/451,338
  6. Step 6: Final answer
    x = 2,176,968.94

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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.