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Finding the Third Proportional to 10.40 and 22.60

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Solution

The third proportional to 10.40 and 22.60 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 22.60 = 22.60 : x
  2. Step 2: Convert to fraction form
    10.40/22.60 = 22.60/x
  3. Step 3: Cross multiply
    10.40x = 22.60 × 22.60
  4. Step 4: Simplify right side
    10.40x = 510.96
  5. Step 5: Solve for x
    x = 510.96/10.40
  6. Step 6: Final answer
    x = 49.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.