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Finding the Third Proportional to 343,821 and 516,381

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Solution

The third proportional to 343,821 and 516,381 is: 775,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,821 : 516,381 = 516,381 : x
  2. Step 2: Convert to fraction form
    343,821/516,381 = 516,381/x
  3. Step 3: Cross multiply
    343,821x = 516,381 × 516,381
  4. Step 4: Simplify right side
    343,821x = 266,649,337,161
  5. Step 5: Solve for x
    x = 266,649,337,161/343,821
  6. Step 6: Final answer
    x = 775,546.98

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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.