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Finding the Third Proportional to 139,407.75 and 221,568

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Solution

The third proportional to 139,407.75 and 221,568 is: 352,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407.75 : 221,568 = 221,568 : x
  2. Step 2: Convert to fraction form
    139,407.75/221,568 = 221,568/x
  3. Step 3: Cross multiply
    139,407.75x = 221,568 × 221,568
  4. Step 4: Simplify right side
    139,407.75x = 49,092,378,624
  5. Step 5: Solve for x
    x = 49,092,378,624/139,407.75
  6. Step 6: Final answer
    x = 352,149.57

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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.