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Finding the Third Proportional to 511,297.50 and 757,103.25

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Solution

The third proportional to 511,297.50 and 757,103.25 is: 1,121,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,297.50 : 757,103.25 = 757,103.25 : x
  2. Step 2: Convert to fraction form
    511,297.50/757,103.25 = 757,103.25/x
  3. Step 3: Cross multiply
    511,297.50x = 757,103.25 × 757,103.25
  4. Step 4: Simplify right side
    511,297.50x = 573,205,331,160.56
  5. Step 5: Solve for x
    x = 573,205,331,160.56/511,297.50
  6. Step 6: Final answer
    x = 1,121,079.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.