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Finding the Third Proportional to 158.20 and 240.05

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Solution

The third proportional to 158.20 and 240.05 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 240.05 = 240.05 : x
  2. Step 2: Convert to fraction form
    158.20/240.05 = 240.05/x
  3. Step 3: Cross multiply
    158.20x = 240.05 × 240.05
  4. Step 4: Simplify right side
    158.20x = 57,622.50
  5. Step 5: Solve for x
    x = 57,622.50/158.20
  6. Step 6: Final answer
    x = 364.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.