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Finding the Third Proportional to 136,791 and 204,639.75

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Solution

The third proportional to 136,791 and 204,639.75 is: 306,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,791 : 204,639.75 = 204,639.75 : x
  2. Step 2: Convert to fraction form
    136,791/204,639.75 = 204,639.75/x
  3. Step 3: Cross multiply
    136,791x = 204,639.75 × 204,639.75
  4. Step 4: Simplify right side
    136,791x = 41,877,427,280.06
  5. Step 5: Solve for x
    x = 41,877,427,280.06/136,791
  6. Step 6: Final answer
    x = 306,141.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.