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Finding the Third Proportional to 279,840 and 443,829

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Solution

The third proportional to 279,840 and 443,829 is: 703,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,840 : 443,829 = 443,829 : x
  2. Step 2: Convert to fraction form
    279,840/443,829 = 443,829/x
  3. Step 3: Cross multiply
    279,840x = 443,829 × 443,829
  4. Step 4: Simplify right side
    279,840x = 196,984,181,241
  5. Step 5: Solve for x
    x = 196,984,181,241/279,840
  6. Step 6: Final answer
    x = 703,917.17

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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.