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Finding the Third Proportional to 106,866 and 151,899

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Solution

The third proportional to 106,866 and 151,899 is: 215,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866 : 151,899 = 151,899 : x
  2. Step 2: Convert to fraction form
    106,866/151,899 = 151,899/x
  3. Step 3: Cross multiply
    106,866x = 151,899 × 151,899
  4. Step 4: Simplify right side
    106,866x = 23,073,306,201
  5. Step 5: Solve for x
    x = 23,073,306,201/106,866
  6. Step 6: Final answer
    x = 215,908.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.