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Finding the Third Proportional to 512,412.75 and 814,237.31

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Solution

The third proportional to 512,412.75 and 814,237.31 is: 1,293,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,412.75 : 814,237.31 = 814,237.31 : x
  2. Step 2: Convert to fraction form
    512,412.75/814,237.31 = 814,237.31/x
  3. Step 3: Cross multiply
    512,412.75x = 814,237.31 × 814,237.31
  4. Step 4: Simplify right side
    512,412.75x = 662,982,401,067.22
  5. Step 5: Solve for x
    x = 662,982,401,067.22/512,412.75
  6. Step 6: Final answer
    x = 1,293,844.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.