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Finding the Third Proportional to 218,416 and 347,296

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Solution

The third proportional to 218,416 and 347,296 is: 552,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416 : 347,296 = 347,296 : x
  2. Step 2: Convert to fraction form
    218,416/347,296 = 347,296/x
  3. Step 3: Cross multiply
    218,416x = 347,296 × 347,296
  4. Step 4: Simplify right side
    218,416x = 120,614,511,616
  5. Step 5: Solve for x
    x = 120,614,511,616/218,416
  6. Step 6: Final answer
    x = 552,223.79

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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.