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Finding the Third Proportional to 40 and 47

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Solution

The third proportional to 40 and 47 is: 55.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 47 = 47 : x
  2. Step 2: Convert to fraction form
    40/47 = 47/x
  3. Step 3: Cross multiply
    40x = 47 × 47
  4. Step 4: Simplify right side
    40x = 2,209
  5. Step 5: Solve for x
    x = 2,209/40
  6. Step 6: Final answer
    x = 55.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.