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Finding the Third Proportional to 158.58 and 254.69

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Solution

The third proportional to 158.58 and 254.69 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.58 : 254.69 = 254.69 : x
  2. Step 2: Convert to fraction form
    158.58/254.69 = 254.69/x
  3. Step 3: Cross multiply
    158.58x = 254.69 × 254.69
  4. Step 4: Simplify right side
    158.58x = 64,865.60
  5. Step 5: Solve for x
    x = 64,865.60/158.58
  6. Step 6: Final answer
    x = 409.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.