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Finding the Third Proportional to 150.78 and 328.84

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Solution

The third proportional to 150.78 and 328.84 is: 717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 328.84 = 328.84 : x
  2. Step 2: Convert to fraction form
    150.78/328.84 = 328.84/x
  3. Step 3: Cross multiply
    150.78x = 328.84 × 328.84
  4. Step 4: Simplify right side
    150.78x = 108,138.21
  5. Step 5: Solve for x
    x = 108,138.21/150.78
  6. Step 6: Final answer
    x = 717.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.