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Finding the Third Proportional to 343,815 and 516,372

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Solution

The third proportional to 343,815 and 516,372 is: 775,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,815 : 516,372 = 516,372 : x
  2. Step 2: Convert to fraction form
    343,815/516,372 = 516,372/x
  3. Step 3: Cross multiply
    343,815x = 516,372 × 516,372
  4. Step 4: Simplify right side
    343,815x = 266,640,042,384
  5. Step 5: Solve for x
    x = 266,640,042,384/343,815
  6. Step 6: Final answer
    x = 775,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.