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Finding the Third Proportional to 285,933.38 and 618,939.56

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Solution

The third proportional to 285,933.38 and 618,939.56 is: 1,339,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,933.38 : 618,939.56 = 618,939.56 : x
  2. Step 2: Convert to fraction form
    285,933.38/618,939.56 = 618,939.56/x
  3. Step 3: Cross multiply
    285,933.38x = 618,939.56 × 618,939.56
  4. Step 4: Simplify right side
    285,933.38x = 383,086,182,027.69
  5. Step 5: Solve for x
    x = 383,086,182,027.69/285,933.38
  6. Step 6: Final answer
    x = 1,339,774.28

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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.