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Finding the Third Proportional to 10.78 and 23.70

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Solution

The third proportional to 10.78 and 23.70 is: 52.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 23.70 = 23.70 : x
  2. Step 2: Convert to fraction form
    10.78/23.70 = 23.70/x
  3. Step 3: Cross multiply
    10.78x = 23.70 × 23.70
  4. Step 4: Simplify right side
    10.78x = 561.88
  5. Step 5: Solve for x
    x = 561.88/10.78
  6. Step 6: Final answer
    x = 52.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.