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Finding the Third Proportional to 152.58 and 315.97

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Solution

The third proportional to 152.58 and 315.97 is: 654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 315.97 = 315.97 : x
  2. Step 2: Convert to fraction form
    152.58/315.97 = 315.97/x
  3. Step 3: Cross multiply
    152.58x = 315.97 × 315.97
  4. Step 4: Simplify right side
    152.58x = 99,836.25
  5. Step 5: Solve for x
    x = 99,836.25/152.58
  6. Step 6: Final answer
    x = 654.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.