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Finding the Third Proportional to 340,514 and 515,505

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Solution

The third proportional to 340,514 and 515,505 is: 780,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,514 : 515,505 = 515,505 : x
  2. Step 2: Convert to fraction form
    340,514/515,505 = 515,505/x
  3. Step 3: Cross multiply
    340,514x = 515,505 × 515,505
  4. Step 4: Simplify right side
    340,514x = 265,745,405,025
  5. Step 5: Solve for x
    x = 265,745,405,025/340,514
  6. Step 6: Final answer
    x = 780,424.31

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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.