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Finding the Third Proportional to 343,966 and 521,142

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Solution

The third proportional to 343,966 and 521,142 is: 789,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,966 : 521,142 = 521,142 : x
  2. Step 2: Convert to fraction form
    343,966/521,142 = 521,142/x
  3. Step 3: Cross multiply
    343,966x = 521,142 × 521,142
  4. Step 4: Simplify right side
    343,966x = 271,588,984,164
  5. Step 5: Solve for x
    x = 271,588,984,164/343,966
  6. Step 6: Final answer
    x = 789,580.90

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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.