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Finding the Third Proportional to 66,177 and 123,039

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Solution

The third proportional to 66,177 and 123,039 is: 228,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,177 : 123,039 = 123,039 : x
  2. Step 2: Convert to fraction form
    66,177/123,039 = 123,039/x
  3. Step 3: Cross multiply
    66,177x = 123,039 × 123,039
  4. Step 4: Simplify right side
    66,177x = 15,138,595,521
  5. Step 5: Solve for x
    x = 15,138,595,521/66,177
  6. Step 6: Final answer
    x = 228,759.17

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.