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Finding the Third Proportional to 303,904.41 and 654,940.69

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Solution

The third proportional to 303,904.41 and 654,940.69 is: 1,411,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,904.41 : 654,940.69 = 654,940.69 : x
  2. Step 2: Convert to fraction form
    303,904.41/654,940.69 = 654,940.69/x
  3. Step 3: Cross multiply
    303,904.41x = 654,940.69 × 654,940.69
  4. Step 4: Simplify right side
    303,904.41x = 428,947,304,142.97
  5. Step 5: Solve for x
    x = 428,947,304,142.97/303,904.41
  6. Step 6: Final answer
    x = 1,411,454.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.