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Finding the Third Proportional to 136,240.50 and 212,639.25

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Solution

The third proportional to 136,240.50 and 212,639.25 is: 331,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,240.50 : 212,639.25 = 212,639.25 : x
  2. Step 2: Convert to fraction form
    136,240.50/212,639.25 = 212,639.25/x
  3. Step 3: Cross multiply
    136,240.50x = 212,639.25 × 212,639.25
  4. Step 4: Simplify right side
    136,240.50x = 45,215,450,640.56
  5. Step 5: Solve for x
    x = 45,215,450,640.56/136,240.50
  6. Step 6: Final answer
    x = 331,879.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.