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Finding the Third Proportional to 365.21 and 749.65

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Solution

The third proportional to 365.21 and 749.65 is: 1,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 749.65 = 749.65 : x
  2. Step 2: Convert to fraction form
    365.21/749.65 = 749.65/x
  3. Step 3: Cross multiply
    365.21x = 749.65 × 749.65
  4. Step 4: Simplify right side
    365.21x = 561,968.39
  5. Step 5: Solve for x
    x = 561,968.39/365.21
  6. Step 6: Final answer
    x = 1,538.75

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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.