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Finding the Third Proportional to 174,462 and 261,909

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Solution

The third proportional to 174,462 and 261,909 is: 393,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,462 : 261,909 = 261,909 : x
  2. Step 2: Convert to fraction form
    174,462/261,909 = 261,909/x
  3. Step 3: Cross multiply
    174,462x = 261,909 × 261,909
  4. Step 4: Simplify right side
    174,462x = 68,596,324,281
  5. Step 5: Solve for x
    x = 68,596,324,281/174,462
  6. Step 6: Final answer
    x = 393,187.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.