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Finding the Third Proportional to 284,046.75 and 618,939

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Solution

The third proportional to 284,046.75 and 618,939 is: 1,348,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,046.75 : 618,939 = 618,939 : x
  2. Step 2: Convert to fraction form
    284,046.75/618,939 = 618,939/x
  3. Step 3: Cross multiply
    284,046.75x = 618,939 × 618,939
  4. Step 4: Simplify right side
    284,046.75x = 383,085,485,721
  5. Step 5: Solve for x
    x = 383,085,485,721/284,046.75
  6. Step 6: Final answer
    x = 1,348,670.55

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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.