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Finding the Third Proportional to 243,972 and 343,116

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Solution

The third proportional to 243,972 and 343,116 is: 482,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,972 : 343,116 = 343,116 : x
  2. Step 2: Convert to fraction form
    243,972/343,116 = 343,116/x
  3. Step 3: Cross multiply
    243,972x = 343,116 × 343,116
  4. Step 4: Simplify right side
    243,972x = 117,728,589,456
  5. Step 5: Solve for x
    x = 117,728,589,456/243,972
  6. Step 6: Final answer
    x = 482,549.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.