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Finding the Third Proportional to 139,512.75 and 221,724

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Solution

The third proportional to 139,512.75 and 221,724 is: 352,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512.75 : 221,724 = 221,724 : x
  2. Step 2: Convert to fraction form
    139,512.75/221,724 = 221,724/x
  3. Step 3: Cross multiply
    139,512.75x = 221,724 × 221,724
  4. Step 4: Simplify right side
    139,512.75x = 49,161,532,176
  5. Step 5: Solve for x
    x = 49,161,532,176/139,512.75
  6. Step 6: Final answer
    x = 352,380.21

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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.