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Finding the Third Proportional to 102.88 and 246.45

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Solution

The third proportional to 102.88 and 246.45 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 246.45 = 246.45 : x
  2. Step 2: Convert to fraction form
    102.88/246.45 = 246.45/x
  3. Step 3: Cross multiply
    102.88x = 246.45 × 246.45
  4. Step 4: Simplify right side
    102.88x = 60,739.62
  5. Step 5: Solve for x
    x = 60,739.62/102.88
  6. Step 6: Final answer
    x = 590.37

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.