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Finding the Third Proportional to 410.48 and 486.42

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Solution

The third proportional to 410.48 and 486.42 is: 576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 486.42 = 486.42 : x
  2. Step 2: Convert to fraction form
    410.48/486.42 = 486.42/x
  3. Step 3: Cross multiply
    410.48x = 486.42 × 486.42
  4. Step 4: Simplify right side
    410.48x = 236,606.24
  5. Step 5: Solve for x
    x = 236,606.24/410.48
  6. Step 6: Final answer
    x = 576.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.