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Finding the Third Proportional to 47.72 and 125.32

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Solution

The third proportional to 47.72 and 125.32 is: 329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 125.32 = 125.32 : x
  2. Step 2: Convert to fraction form
    47.72/125.32 = 125.32/x
  3. Step 3: Cross multiply
    47.72x = 125.32 × 125.32
  4. Step 4: Simplify right side
    47.72x = 15,706.08
  5. Step 5: Solve for x
    x = 15,706.08/47.72
  6. Step 6: Final answer
    x = 329.10

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.