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Finding the Third Proportional to 150.45 and 320.36

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Solution

The third proportional to 150.45 and 320.36 is: 682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.45 : 320.36 = 320.36 : x
  2. Step 2: Convert to fraction form
    150.45/320.36 = 320.36/x
  3. Step 3: Cross multiply
    150.45x = 320.36 × 320.36
  4. Step 4: Simplify right side
    150.45x = 102,631.38
  5. Step 5: Solve for x
    x = 102,631.38/150.45
  6. Step 6: Final answer
    x = 682.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.