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Finding the Third Proportional to 303,640.50 and 649,317

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Solution

The third proportional to 303,640.50 and 649,317 is: 1,388,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,640.50 : 649,317 = 649,317 : x
  2. Step 2: Convert to fraction form
    303,640.50/649,317 = 649,317/x
  3. Step 3: Cross multiply
    303,640.50x = 649,317 × 649,317
  4. Step 4: Simplify right side
    303,640.50x = 421,612,566,489
  5. Step 5: Solve for x
    x = 421,612,566,489/303,640.50
  6. Step 6: Final answer
    x = 1,388,525.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.