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Finding the Third Proportional to 483.75 and 742.08

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Solution

The third proportional to 483.75 and 742.08 is: 1,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.75 : 742.08 = 742.08 : x
  2. Step 2: Convert to fraction form
    483.75/742.08 = 742.08/x
  3. Step 3: Cross multiply
    483.75x = 742.08 × 742.08
  4. Step 4: Simplify right side
    483.75x = 550,679.94
  5. Step 5: Solve for x
    x = 550,679.94/483.75
  6. Step 6: Final answer
    x = 1,138.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.