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Finding the Third Proportional to 47.94 and 70.47

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Solution

The third proportional to 47.94 and 70.47 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.94 : 70.47 = 70.47 : x
  2. Step 2: Convert to fraction form
    47.94/70.47 = 70.47/x
  3. Step 3: Cross multiply
    47.94x = 70.47 × 70.47
  4. Step 4: Simplify right side
    47.94x = 4,965.84
  5. Step 5: Solve for x
    x = 4,965.84/47.94
  6. Step 6: Final answer
    x = 103.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.