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Finding the Third Proportional to 511,548.75 and 800,128.13

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Solution

The third proportional to 511,548.75 and 800,128.13 is: 1,251,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,548.75 : 800,128.13 = 800,128.13 : x
  2. Step 2: Convert to fraction form
    511,548.75/800,128.13 = 800,128.13/x
  3. Step 3: Cross multiply
    511,548.75x = 800,128.13 × 800,128.13
  4. Step 4: Simplify right side
    511,548.75x = 640,205,016,416.02
  5. Step 5: Solve for x
    x = 640,205,016,416.02/511,548.75
  6. Step 6: Final answer
    x = 1,251,503.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.