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Finding the Third Proportional to 47.75 and 87.63

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Solution

The third proportional to 47.75 and 87.63 is: 160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 87.63 = 87.63 : x
  2. Step 2: Convert to fraction form
    47.75/87.63 = 87.63/x
  3. Step 3: Cross multiply
    47.75x = 87.63 × 87.63
  4. Step 4: Simplify right side
    47.75x = 7,678.14
  5. Step 5: Solve for x
    x = 7,678.14/47.75
  6. Step 6: Final answer
    x = 160.80

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.