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Finding the Third Proportional to 48.36 and 101.51

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Solution

The third proportional to 48.36 and 101.51 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.36 : 101.51 = 101.51 : x
  2. Step 2: Convert to fraction form
    48.36/101.51 = 101.51/x
  3. Step 3: Cross multiply
    48.36x = 101.51 × 101.51
  4. Step 4: Simplify right side
    48.36x = 10,305.03
  5. Step 5: Solve for x
    x = 10,305.03/48.36
  6. Step 6: Final answer
    x = 213.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.