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Finding the Third Proportional to 66,015 and 129,843

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Solution

The third proportional to 66,015 and 129,843 is: 255,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 129,843 = 129,843 : x
  2. Step 2: Convert to fraction form
    66,015/129,843 = 129,843/x
  3. Step 3: Cross multiply
    66,015x = 129,843 × 129,843
  4. Step 4: Simplify right side
    66,015x = 16,859,204,649
  5. Step 5: Solve for x
    x = 16,859,204,649/66,015
  6. Step 6: Final answer
    x = 255,384.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.