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Finding the Third Proportional to 4.65 and 10.18

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Solution

The third proportional to 4.65 and 10.18 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 10.18 = 10.18 : x
  2. Step 2: Convert to fraction form
    4.65/10.18 = 10.18/x
  3. Step 3: Cross multiply
    4.65x = 10.18 × 10.18
  4. Step 4: Simplify right side
    4.65x = 103.55
  5. Step 5: Solve for x
    x = 103.55/4.65
  6. Step 6: Final answer
    x = 22.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.