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Finding the Third Proportional to 14.78 and 30.62

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Solution

The third proportional to 14.78 and 30.62 is: 63.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 30.62 = 30.62 : x
  2. Step 2: Convert to fraction form
    14.78/30.62 = 30.62/x
  3. Step 3: Cross multiply
    14.78x = 30.62 × 30.62
  4. Step 4: Simplify right side
    14.78x = 937.30
  5. Step 5: Solve for x
    x = 937.30/14.78
  6. Step 6: Final answer
    x = 63.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.