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Finding the Third Proportional to 150,540 and 216,378.75

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Solution

The third proportional to 150,540 and 216,378.75 is: 311,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540 : 216,378.75 = 216,378.75 : x
  2. Step 2: Convert to fraction form
    150,540/216,378.75 = 216,378.75/x
  3. Step 3: Cross multiply
    150,540x = 216,378.75 × 216,378.75
  4. Step 4: Simplify right side
    150,540x = 46,819,763,451.56
  5. Step 5: Solve for x
    x = 46,819,763,451.56/150,540
  6. Step 6: Final answer
    x = 311,012.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.