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Finding the Third Proportional to 152.58 and 334.36

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Solution

The third proportional to 152.58 and 334.36 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 334.36 = 334.36 : x
  2. Step 2: Convert to fraction form
    152.58/334.36 = 334.36/x
  3. Step 3: Cross multiply
    152.58x = 334.36 × 334.36
  4. Step 4: Simplify right side
    152.58x = 111,796.19
  5. Step 5: Solve for x
    x = 111,796.19/152.58
  6. Step 6: Final answer
    x = 732.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.