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Finding the Third Proportional to 9.73 and 12.74

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Solution

The third proportional to 9.73 and 12.74 is: 16.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.73 : 12.74 = 12.74 : x
  2. Step 2: Convert to fraction form
    9.73/12.74 = 12.74/x
  3. Step 3: Cross multiply
    9.73x = 12.74 × 12.74
  4. Step 4: Simplify right side
    9.73x = 162.26
  5. Step 5: Solve for x
    x = 162.26/9.73
  6. Step 6: Final answer
    x = 16.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.