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Finding the Third Proportional to 309.45 and 649.27

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Solution

The third proportional to 309.45 and 649.27 is: 1,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 649.27 = 649.27 : x
  2. Step 2: Convert to fraction form
    309.45/649.27 = 649.27/x
  3. Step 3: Cross multiply
    309.45x = 649.27 × 649.27
  4. Step 4: Simplify right side
    309.45x = 421,545.85
  5. Step 5: Solve for x
    x = 421,545.85/309.45
  6. Step 6: Final answer
    x = 1,362.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.