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Finding the Third Proportional to 343,998 and 521,187

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Solution

The third proportional to 343,998 and 521,187 is: 789,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,998 : 521,187 = 521,187 : x
  2. Step 2: Convert to fraction form
    343,998/521,187 = 521,187/x
  3. Step 3: Cross multiply
    343,998x = 521,187 × 521,187
  4. Step 4: Simplify right side
    343,998x = 271,635,888,969
  5. Step 5: Solve for x
    x = 271,635,888,969/343,998
  6. Step 6: Final answer
    x = 789,643.80

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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.