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Finding the Third Proportional to 303,907 and 661,328

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Solution

The third proportional to 303,907 and 661,328 is: 1,439,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,907 : 661,328 = 661,328 : x
  2. Step 2: Convert to fraction form
    303,907/661,328 = 661,328/x
  3. Step 3: Cross multiply
    303,907x = 661,328 × 661,328
  4. Step 4: Simplify right side
    303,907x = 437,354,723,584
  5. Step 5: Solve for x
    x = 437,354,723,584/303,907
  6. Step 6: Final answer
    x = 1,439,107.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.