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Finding the Third Proportional to 218,403 and 467,167.78

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Solution

The third proportional to 218,403 and 467,167.78 is: 999,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,403 : 467,167.78 = 467,167.78 : x
  2. Step 2: Convert to fraction form
    218,403/467,167.78 = 467,167.78/x
  3. Step 3: Cross multiply
    218,403x = 467,167.78 × 467,167.78
  4. Step 4: Simplify right side
    218,403x = 218,245,735,838.05
  5. Step 5: Solve for x
    x = 218,245,735,838.05/218,403
  6. Step 6: Final answer
    x = 999,279.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.