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Finding the Third Proportional to 165,400 and 262,866

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Solution

The third proportional to 165,400 and 262,866 is: 417,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,400 : 262,866 = 262,866 : x
  2. Step 2: Convert to fraction form
    165,400/262,866 = 262,866/x
  3. Step 3: Cross multiply
    165,400x = 262,866 × 262,866
  4. Step 4: Simplify right side
    165,400x = 69,098,533,956
  5. Step 5: Solve for x
    x = 69,098,533,956/165,400
  6. Step 6: Final answer
    x = 417,766.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.