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Finding the Third Proportional to 4.71 and 12.38

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Solution

The third proportional to 4.71 and 12.38 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.71 : 12.38 = 12.38 : x
  2. Step 2: Convert to fraction form
    4.71/12.38 = 12.38/x
  3. Step 3: Cross multiply
    4.71x = 12.38 × 12.38
  4. Step 4: Simplify right side
    4.71x = 153.21
  5. Step 5: Solve for x
    x = 153.21/4.71
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.