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Finding the Third Proportional to 135,275 and 212,200.50

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Solution

The third proportional to 135,275 and 212,200.50 is: 332,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,275 : 212,200.50 = 212,200.50 : x
  2. Step 2: Convert to fraction form
    135,275/212,200.50 = 212,200.50/x
  3. Step 3: Cross multiply
    135,275x = 212,200.50 × 212,200.50
  4. Step 4: Simplify right side
    135,275x = 45,029,052,200.25
  5. Step 5: Solve for x
    x = 45,029,052,200.25/135,275
  6. Step 6: Final answer
    x = 332,870.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.