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Finding the Third Proportional to 343,826 and 516,389

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Solution

The third proportional to 343,826 and 516,389 is: 775,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826 : 516,389 = 516,389 : x
  2. Step 2: Convert to fraction form
    343,826/516,389 = 516,389/x
  3. Step 3: Cross multiply
    343,826x = 516,389 × 516,389
  4. Step 4: Simplify right side
    343,826x = 266,657,599,321
  5. Step 5: Solve for x
    x = 266,657,599,321/343,826
  6. Step 6: Final answer
    x = 775,559.73

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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.