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Finding the Third Proportional to 18.07 and 37.10

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Solution

The third proportional to 18.07 and 37.10 is: 76.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.07 : 37.10 = 37.10 : x
  2. Step 2: Convert to fraction form
    18.07/37.10 = 37.10/x
  3. Step 3: Cross multiply
    18.07x = 37.10 × 37.10
  4. Step 4: Simplify right side
    18.07x = 1,376.18
  5. Step 5: Solve for x
    x = 1,376.18/18.07
  6. Step 6: Final answer
    x = 76.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.