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Finding the Third Proportional to 486.24 and 725.44

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Solution

The third proportional to 486.24 and 725.44 is: 1,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 725.44 = 725.44 : x
  2. Step 2: Convert to fraction form
    486.24/725.44 = 725.44/x
  3. Step 3: Cross multiply
    486.24x = 725.44 × 725.44
  4. Step 4: Simplify right side
    486.24x = 526,263.82
  5. Step 5: Solve for x
    x = 526,263.82/486.24
  6. Step 6: Final answer
    x = 1,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.