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Finding the Third Proportional to 135,127.50 and 211,970.75

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Solution

The third proportional to 135,127.50 and 211,970.75 is: 332,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,127.50 : 211,970.75 = 211,970.75 : x
  2. Step 2: Convert to fraction form
    135,127.50/211,970.75 = 211,970.75/x
  3. Step 3: Cross multiply
    135,127.50x = 211,970.75 × 211,970.75
  4. Step 4: Simplify right side
    135,127.50x = 44,931,598,855.56
  5. Step 5: Solve for x
    x = 44,931,598,855.56/135,127.50
  6. Step 6: Final answer
    x = 332,512.62

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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.