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Finding the Third Proportional to 451,611 and 991,791

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Solution

The third proportional to 451,611 and 991,791 is: 2,178,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,611 : 991,791 = 991,791 : x
  2. Step 2: Convert to fraction form
    451,611/991,791 = 991,791/x
  3. Step 3: Cross multiply
    451,611x = 991,791 × 991,791
  4. Step 4: Simplify right side
    451,611x = 983,649,387,681
  5. Step 5: Solve for x
    x = 983,649,387,681/451,611
  6. Step 6: Final answer
    x = 2,178,089.97

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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.