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Finding the Third Proportional to 937.56 and 2,259.44

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Solution

The third proportional to 937.56 and 2,259.44 is: 5,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.56 : 2,259.44 = 2,259.44 : x
  2. Step 2: Convert to fraction form
    937.56/2,259.44 = 2,259.44/x
  3. Step 3: Cross multiply
    937.56x = 2,259.44 × 2,259.44
  4. Step 4: Simplify right side
    937.56x = 5,105,057.82
  5. Step 5: Solve for x
    x = 5,105,057.82/937.56
  6. Step 6: Final answer
    x = 5,445.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.