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Finding the Third Proportional to 47.51 and 109.26

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Solution

The third proportional to 47.51 and 109.26 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.51 : 109.26 = 109.26 : x
  2. Step 2: Convert to fraction form
    47.51/109.26 = 109.26/x
  3. Step 3: Cross multiply
    47.51x = 109.26 × 109.26
  4. Step 4: Simplify right side
    47.51x = 11,938.83
  5. Step 5: Solve for x
    x = 11,938.83/47.51
  6. Step 6: Final answer
    x = 251.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.