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Finding the Third Proportional to 343,252.69 and 517,996.27

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Solution

The third proportional to 343,252.69 and 517,996.27 is: 781,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,252.69 : 517,996.27 = 517,996.27 : x
  2. Step 2: Convert to fraction form
    343,252.69/517,996.27 = 517,996.27/x
  3. Step 3: Cross multiply
    343,252.69x = 517,996.27 × 517,996.27
  4. Step 4: Simplify right side
    343,252.69x = 268,320,131,201.45
  5. Step 5: Solve for x
    x = 268,320,131,201.45/343,252.69
  6. Step 6: Final answer
    x = 781,698.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.