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Finding the Third Proportional to 343,950 and 521,118

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Solution

The third proportional to 343,950 and 521,118 is: 789,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,950 : 521,118 = 521,118 : x
  2. Step 2: Convert to fraction form
    343,950/521,118 = 521,118/x
  3. Step 3: Cross multiply
    343,950x = 521,118 × 521,118
  4. Step 4: Simplify right side
    343,950x = 271,563,969,924
  5. Step 5: Solve for x
    x = 271,563,969,924/343,950
  6. Step 6: Final answer
    x = 789,544.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.