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Finding the Third Proportional to 47.70 and 101.80

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Solution

The third proportional to 47.70 and 101.80 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.70 : 101.80 = 101.80 : x
  2. Step 2: Convert to fraction form
    47.70/101.80 = 101.80/x
  3. Step 3: Cross multiply
    47.70x = 101.80 × 101.80
  4. Step 4: Simplify right side
    47.70x = 10,364.00
  5. Step 5: Solve for x
    x = 10,364.00/47.70
  6. Step 6: Final answer
    x = 217.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.