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Finding the Third Proportional to 21.70 and 47.35

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Solution

The third proportional to 21.70 and 47.35 is: 103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.70 : 47.35 = 47.35 : x
  2. Step 2: Convert to fraction form
    21.70/47.35 = 47.35/x
  3. Step 3: Cross multiply
    21.70x = 47.35 × 47.35
  4. Step 4: Simplify right side
    21.70x = 2,241.91
  5. Step 5: Solve for x
    x = 2,241.91/21.70
  6. Step 6: Final answer
    x = 103.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.