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Finding the Third Proportional to 158.58 and 245.08

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Solution

The third proportional to 158.58 and 245.08 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.58 : 245.08 = 245.08 : x
  2. Step 2: Convert to fraction form
    158.58/245.08 = 245.08/x
  3. Step 3: Cross multiply
    158.58x = 245.08 × 245.08
  4. Step 4: Simplify right side
    158.58x = 60,062.45
  5. Step 5: Solve for x
    x = 60,062.45/158.58
  6. Step 6: Final answer
    x = 378.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.