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Finding the Third Proportional to 61,869 and 134,845

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Solution

The third proportional to 61,869 and 134,845 is: 293,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,869 : 134,845 = 134,845 : x
  2. Step 2: Convert to fraction form
    61,869/134,845 = 134,845/x
  3. Step 3: Cross multiply
    61,869x = 134,845 × 134,845
  4. Step 4: Simplify right side
    61,869x = 18,183,174,025
  5. Step 5: Solve for x
    x = 18,183,174,025/61,869
  6. Step 6: Final answer
    x = 293,897.98

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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.