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Finding the Third Proportional to 218,698 and 337,357

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Solution

The third proportional to 218,698 and 337,357 is: 520,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,698 : 337,357 = 337,357 : x
  2. Step 2: Convert to fraction form
    218,698/337,357 = 337,357/x
  3. Step 3: Cross multiply
    218,698x = 337,357 × 337,357
  4. Step 4: Simplify right side
    218,698x = 113,809,745,449
  5. Step 5: Solve for x
    x = 113,809,745,449/218,698
  6. Step 6: Final answer
    x = 520,396.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.