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Finding the Third Proportional to 139,869 and 305,357

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Solution

The third proportional to 139,869 and 305,357 is: 666,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869 : 305,357 = 305,357 : x
  2. Step 2: Convert to fraction form
    139,869/305,357 = 305,357/x
  3. Step 3: Cross multiply
    139,869x = 305,357 × 305,357
  4. Step 4: Simplify right side
    139,869x = 93,242,897,449
  5. Step 5: Solve for x
    x = 93,242,897,449/139,869
  6. Step 6: Final answer
    x = 666,644.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.