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Finding the Third Proportional to 937.83 and 1,452.30

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Solution

The third proportional to 937.83 and 1,452.30 is: 2,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,452.30 = 1,452.30 : x
  2. Step 2: Convert to fraction form
    937.83/1,452.30 = 1,452.30/x
  3. Step 3: Cross multiply
    937.83x = 1,452.30 × 1,452.30
  4. Step 4: Simplify right side
    937.83x = 2,109,188.91
  5. Step 5: Solve for x
    x = 2,109,188.91/937.83
  6. Step 6: Final answer
    x = 2,249.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.