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Finding the Third Proportional to 168,684 and 261,090

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Solution

The third proportional to 168,684 and 261,090 is: 404,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,684 : 261,090 = 261,090 : x
  2. Step 2: Convert to fraction form
    168,684/261,090 = 261,090/x
  3. Step 3: Cross multiply
    168,684x = 261,090 × 261,090
  4. Step 4: Simplify right side
    168,684x = 68,167,988,100
  5. Step 5: Solve for x
    x = 68,167,988,100/168,684
  6. Step 6: Final answer
    x = 404,116.50

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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.