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Finding the Third Proportional to 278,791 and 443,107

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Solution

The third proportional to 278,791 and 443,107 is: 704,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,791 : 443,107 = 443,107 : x
  2. Step 2: Convert to fraction form
    278,791/443,107 = 443,107/x
  3. Step 3: Cross multiply
    278,791x = 443,107 × 443,107
  4. Step 4: Simplify right side
    278,791x = 196,343,813,449
  5. Step 5: Solve for x
    x = 196,343,813,449/278,791
  6. Step 6: Final answer
    x = 704,268.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.