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Finding the Third Proportional to 9.37 and 13.43

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Solution

The third proportional to 9.37 and 13.43 is: 19.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.37 : 13.43 = 13.43 : x
  2. Step 2: Convert to fraction form
    9.37/13.43 = 13.43/x
  3. Step 3: Cross multiply
    9.37x = 13.43 × 13.43
  4. Step 4: Simplify right side
    9.37x = 180.46
  5. Step 5: Solve for x
    x = 180.46/9.37
  6. Step 6: Final answer
    x = 19.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.