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Finding the Third Proportional to 47.25 and 75.09

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Solution

The third proportional to 47.25 and 75.09 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 75.09 = 75.09 : x
  2. Step 2: Convert to fraction form
    47.25/75.09 = 75.09/x
  3. Step 3: Cross multiply
    47.25x = 75.09 × 75.09
  4. Step 4: Simplify right side
    47.25x = 5,639.07
  5. Step 5: Solve for x
    x = 5,639.07/47.25
  6. Step 6: Final answer
    x = 119.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.