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Finding the Third Proportional to 90,255 and 198,009

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Solution

The third proportional to 90,255 and 198,009 is: 434,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,255 : 198,009 = 198,009 : x
  2. Step 2: Convert to fraction form
    90,255/198,009 = 198,009/x
  3. Step 3: Cross multiply
    90,255x = 198,009 × 198,009
  4. Step 4: Simplify right side
    90,255x = 39,207,564,081
  5. Step 5: Solve for x
    x = 39,207,564,081/90,255
  6. Step 6: Final answer
    x = 434,408.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.