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Finding the Third Proportional to 168,411 and 261,486

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Solution

The third proportional to 168,411 and 261,486 is: 406,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,411 : 261,486 = 261,486 : x
  2. Step 2: Convert to fraction form
    168,411/261,486 = 261,486/x
  3. Step 3: Cross multiply
    168,411x = 261,486 × 261,486
  4. Step 4: Simplify right side
    168,411x = 68,374,928,196
  5. Step 5: Solve for x
    x = 68,374,928,196/168,411
  6. Step 6: Final answer
    x = 406,000.37

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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.