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Finding the Third Proportional to 168,828 and 261,331.50

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Solution

The third proportional to 168,828 and 261,331.50 is: 404,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,828 : 261,331.50 = 261,331.50 : x
  2. Step 2: Convert to fraction form
    168,828/261,331.50 = 261,331.50/x
  3. Step 3: Cross multiply
    168,828x = 261,331.50 × 261,331.50
  4. Step 4: Simplify right side
    168,828x = 68,294,152,892.25
  5. Step 5: Solve for x
    x = 68,294,152,892.25/168,828
  6. Step 6: Final answer
    x = 404,519.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.