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Finding the Third Proportional to 102.70 and 241.78

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Solution

The third proportional to 102.70 and 241.78 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 241.78 = 241.78 : x
  2. Step 2: Convert to fraction form
    102.70/241.78 = 241.78/x
  3. Step 3: Cross multiply
    102.70x = 241.78 × 241.78
  4. Step 4: Simplify right side
    102.70x = 58,458.17
  5. Step 5: Solve for x
    x = 58,458.17/102.70
  6. Step 6: Final answer
    x = 569.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.