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Finding the Third Proportional to 218,769 and 337,488

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Solution

The third proportional to 218,769 and 337,488 is: 520,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,769 : 337,488 = 337,488 : x
  2. Step 2: Convert to fraction form
    218,769/337,488 = 337,488/x
  3. Step 3: Cross multiply
    218,769x = 337,488 × 337,488
  4. Step 4: Simplify right side
    218,769x = 113,898,150,144
  5. Step 5: Solve for x
    x = 113,898,150,144/218,769
  6. Step 6: Final answer
    x = 520,632.04

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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.