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Finding the Third Proportional to 69,960 and 150,288

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Solution

The third proportional to 69,960 and 150,288 is: 322,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,960 : 150,288 = 150,288 : x
  2. Step 2: Convert to fraction form
    69,960/150,288 = 150,288/x
  3. Step 3: Cross multiply
    69,960x = 150,288 × 150,288
  4. Step 4: Simplify right side
    69,960x = 22,586,482,944
  5. Step 5: Solve for x
    x = 22,586,482,944/69,960
  6. Step 6: Final answer
    x = 322,848.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.