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Finding the Third Proportional to 136,012 and 199,866

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Solution

The third proportional to 136,012 and 199,866 is: 293,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,012 : 199,866 = 199,866 : x
  2. Step 2: Convert to fraction form
    136,012/199,866 = 199,866/x
  3. Step 3: Cross multiply
    136,012x = 199,866 × 199,866
  4. Step 4: Simplify right side
    136,012x = 39,946,417,956
  5. Step 5: Solve for x
    x = 39,946,417,956/136,012
  6. Step 6: Final answer
    x = 293,697.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.