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Finding the Third Proportional to 10.78 and 23.48

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Solution

The third proportional to 10.78 and 23.48 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 23.48 = 23.48 : x
  2. Step 2: Convert to fraction form
    10.78/23.48 = 23.48/x
  3. Step 3: Cross multiply
    10.78x = 23.48 × 23.48
  4. Step 4: Simplify right side
    10.78x = 551.52
  5. Step 5: Solve for x
    x = 551.52/10.78
  6. Step 6: Final answer
    x = 51.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.