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Finding the Third Proportional to 158.88 and 257.94

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Solution

The third proportional to 158.88 and 257.94 is: 418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.88 : 257.94 = 257.94 : x
  2. Step 2: Convert to fraction form
    158.88/257.94 = 257.94/x
  3. Step 3: Cross multiply
    158.88x = 257.94 × 257.94
  4. Step 4: Simplify right side
    158.88x = 66,531.75
  5. Step 5: Solve for x
    x = 66,531.75/158.88
  6. Step 6: Final answer
    x = 418.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.