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Finding the Third Proportional to 303,669 and 649,384

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Solution

The third proportional to 303,669 and 649,384 is: 1,388,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669 : 649,384 = 649,384 : x
  2. Step 2: Convert to fraction form
    303,669/649,384 = 649,384/x
  3. Step 3: Cross multiply
    303,669x = 649,384 × 649,384
  4. Step 4: Simplify right side
    303,669x = 421,699,579,456
  5. Step 5: Solve for x
    x = 421,699,579,456/303,669
  6. Step 6: Final answer
    x = 1,388,681.69

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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.