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Finding the Third Proportional to 174,744 and 261,420

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Solution

The third proportional to 174,744 and 261,420 is: 391,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,744 : 261,420 = 261,420 : x
  2. Step 2: Convert to fraction form
    174,744/261,420 = 261,420/x
  3. Step 3: Cross multiply
    174,744x = 261,420 × 261,420
  4. Step 4: Simplify right side
    174,744x = 68,340,416,400
  5. Step 5: Solve for x
    x = 68,340,416,400/174,744
  6. Step 6: Final answer
    x = 391,088.77

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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.