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Finding the Third Proportional to 343,817 and 516,375

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Solution

The third proportional to 343,817 and 516,375 is: 775,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,817 : 516,375 = 516,375 : x
  2. Step 2: Convert to fraction form
    343,817/516,375 = 516,375/x
  3. Step 3: Cross multiply
    343,817x = 516,375 × 516,375
  4. Step 4: Simplify right side
    343,817x = 266,643,140,625
  5. Step 5: Solve for x
    x = 266,643,140,625/343,817
  6. Step 6: Final answer
    x = 775,537.98

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