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Finding the Third Proportional to 285,940.13 and 618,951.38

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Solution

The third proportional to 285,940.13 and 618,951.38 is: 1,339,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,940.13 : 618,951.38 = 618,951.38 : x
  2. Step 2: Convert to fraction form
    285,940.13/618,951.38 = 618,951.38/x
  3. Step 3: Cross multiply
    285,940.13x = 618,951.38 × 618,951.38
  4. Step 4: Simplify right side
    285,940.13x = 383,100,804,614.39
  5. Step 5: Solve for x
    x = 383,100,804,614.39/285,940.13
  6. Step 6: Final answer
    x = 1,339,793.79

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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.