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Finding the Third Proportional to 168,413 and 261,489

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Solution

The third proportional to 168,413 and 261,489 is: 406,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,413 : 261,489 = 261,489 : x
  2. Step 2: Convert to fraction form
    168,413/261,489 = 261,489/x
  3. Step 3: Cross multiply
    168,413x = 261,489 × 261,489
  4. Step 4: Simplify right side
    168,413x = 68,376,497,121
  5. Step 5: Solve for x
    x = 68,376,497,121/168,413
  6. Step 6: Final answer
    x = 406,004.86

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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.