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Finding the Third Proportional to 46.13 and 101.11

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Solution

The third proportional to 46.13 and 101.11 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 101.11 = 101.11 : x
  2. Step 2: Convert to fraction form
    46.13/101.11 = 101.11/x
  3. Step 3: Cross multiply
    46.13x = 101.11 × 101.11
  4. Step 4: Simplify right side
    46.13x = 10,223.11
  5. Step 5: Solve for x
    x = 10,223.11/46.13
  6. Step 6: Final answer
    x = 221.64

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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.