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Finding the Third Proportional to 343,644 and 516,102

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Solution

The third proportional to 343,644 and 516,102 is: 775,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,644 : 516,102 = 516,102 : x
  2. Step 2: Convert to fraction form
    343,644/516,102 = 516,102/x
  3. Step 3: Cross multiply
    343,644x = 516,102 × 516,102
  4. Step 4: Simplify right side
    343,644x = 266,361,274,404
  5. Step 5: Solve for x
    x = 266,361,274,404/343,644
  6. Step 6: Final answer
    x = 775,108.18

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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.