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Finding the Third Proportional to 296,438 and 443,842

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Solution

The third proportional to 296,438 and 443,842 is: 664,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,438 : 443,842 = 443,842 : x
  2. Step 2: Convert to fraction form
    296,438/443,842 = 443,842/x
  3. Step 3: Cross multiply
    296,438x = 443,842 × 443,842
  4. Step 4: Simplify right side
    296,438x = 196,995,720,964
  5. Step 5: Solve for x
    x = 196,995,720,964/296,438
  6. Step 6: Final answer
    x = 664,542.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.