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Finding the Third Proportional to 511,255.13 and 756,997.31

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Solution

The third proportional to 511,255.13 and 756,997.31 is: 1,120,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,255.13 : 756,997.31 = 756,997.31 : x
  2. Step 2: Convert to fraction form
    511,255.13/756,997.31 = 756,997.31/x
  3. Step 3: Cross multiply
    511,255.13x = 756,997.31 × 756,997.31
  4. Step 4: Simplify right side
    511,255.13x = 573,044,931,132.22
  5. Step 5: Solve for x
    x = 573,044,931,132.22/511,255.13
  6. Step 6: Final answer
    x = 1,120,859.04

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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.