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Finding the Third Proportional to 38.63 and 71.63

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Solution

The third proportional to 38.63 and 71.63 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.63 : 71.63 = 71.63 : x
  2. Step 2: Convert to fraction form
    38.63/71.63 = 71.63/x
  3. Step 3: Cross multiply
    38.63x = 71.63 × 71.63
  4. Step 4: Simplify right side
    38.63x = 5,130.14
  5. Step 5: Solve for x
    x = 5,130.14/38.63
  6. Step 6: Final answer
    x = 132.82

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.