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Finding the Third Proportional to 168,372 and 261,411

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Solution

The third proportional to 168,372 and 261,411 is: 405,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,372 : 261,411 = 261,411 : x
  2. Step 2: Convert to fraction form
    168,372/261,411 = 261,411/x
  3. Step 3: Cross multiply
    168,372x = 261,411 × 261,411
  4. Step 4: Simplify right side
    168,372x = 68,335,710,921
  5. Step 5: Solve for x
    x = 68,335,710,921/168,372
  6. Step 6: Final answer
    x = 405,861.49

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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.