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Finding the Third Proportional to 343,823 and 516,384

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Solution

The third proportional to 343,823 and 516,384 is: 775,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,823 : 516,384 = 516,384 : x
  2. Step 2: Convert to fraction form
    343,823/516,384 = 516,384/x
  3. Step 3: Cross multiply
    343,823x = 516,384 × 516,384
  4. Step 4: Simplify right side
    343,823x = 266,652,435,456
  5. Step 5: Solve for x
    x = 266,652,435,456/343,823
  6. Step 6: Final answer
    x = 775,551.48

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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.