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Finding the Third Proportional to 139,921.50 and 221,916.75

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Solution

The third proportional to 139,921.50 and 221,916.75 is: 351,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,921.50 : 221,916.75 = 221,916.75 : x
  2. Step 2: Convert to fraction form
    139,921.50/221,916.75 = 221,916.75/x
  3. Step 3: Cross multiply
    139,921.50x = 221,916.75 × 221,916.75
  4. Step 4: Simplify right side
    139,921.50x = 49,247,043,930.56
  5. Step 5: Solve for x
    x = 49,247,043,930.56/139,921.50
  6. Step 6: Final answer
    x = 351,961.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.