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Finding the Third Proportional to 7.37 and 15.46

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Solution

The third proportional to 7.37 and 15.46 is: 32.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.37 : 15.46 = 15.46 : x
  2. Step 2: Convert to fraction form
    7.37/15.46 = 15.46/x
  3. Step 3: Cross multiply
    7.37x = 15.46 × 15.46
  4. Step 4: Simplify right side
    7.37x = 238.92
  5. Step 5: Solve for x
    x = 238.92/7.37
  6. Step 6: Final answer
    x = 32.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.