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Finding the Third Proportional to 68,869 and 148,239

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Solution

The third proportional to 68,869 and 148,239 is: 319,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,869 : 148,239 = 148,239 : x
  2. Step 2: Convert to fraction form
    68,869/148,239 = 148,239/x
  3. Step 3: Cross multiply
    68,869x = 148,239 × 148,239
  4. Step 4: Simplify right side
    68,869x = 21,974,801,121
  5. Step 5: Solve for x
    x = 21,974,801,121/68,869
  6. Step 6: Final answer
    x = 319,081.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.