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Finding the Third Proportional to 309.66 and 410.91

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Solution

The third proportional to 309.66 and 410.91 is: 545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 410.91 = 410.91 : x
  2. Step 2: Convert to fraction form
    309.66/410.91 = 410.91/x
  3. Step 3: Cross multiply
    309.66x = 410.91 × 410.91
  4. Step 4: Simplify right side
    309.66x = 168,843.95
  5. Step 5: Solve for x
    x = 168,843.95/309.66
  6. Step 6: Final answer
    x = 545.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.