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Finding the Third Proportional to 174,720 and 261,806

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Solution

The third proportional to 174,720 and 261,806 is: 392,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,720 : 261,806 = 261,806 : x
  2. Step 2: Convert to fraction form
    174,720/261,806 = 261,806/x
  3. Step 3: Cross multiply
    174,720x = 261,806 × 261,806
  4. Step 4: Simplify right side
    174,720x = 68,542,381,636
  5. Step 5: Solve for x
    x = 68,542,381,636/174,720
  6. Step 6: Final answer
    x = 392,298.43

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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.