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Finding the Third Proportional to 37.65 and 74.23

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Solution

The third proportional to 37.65 and 74.23 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.65 : 74.23 = 74.23 : x
  2. Step 2: Convert to fraction form
    37.65/74.23 = 74.23/x
  3. Step 3: Cross multiply
    37.65x = 74.23 × 74.23
  4. Step 4: Simplify right side
    37.65x = 5,510.45
  5. Step 5: Solve for x
    x = 5,510.45/37.65
  6. Step 6: Final answer
    x = 146.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.