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Finding the Third Proportional to 370.03 and 404.53

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Solution

The third proportional to 370.03 and 404.53 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.03 : 404.53 = 404.53 : x
  2. Step 2: Convert to fraction form
    370.03/404.53 = 404.53/x
  3. Step 3: Cross multiply
    370.03x = 404.53 × 404.53
  4. Step 4: Simplify right side
    370.03x = 163,645.53
  5. Step 5: Solve for x
    x = 163,645.53/370.03
  6. Step 6: Final answer
    x = 442.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.