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Finding the Third Proportional to 231,606 and 347,409

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Solution

The third proportional to 231,606 and 347,409 is: 521,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,606 : 347,409 = 347,409 : x
  2. Step 2: Convert to fraction form
    231,606/347,409 = 347,409/x
  3. Step 3: Cross multiply
    231,606x = 347,409 × 347,409
  4. Step 4: Simplify right side
    231,606x = 120,693,013,281
  5. Step 5: Solve for x
    x = 120,693,013,281/231,606
  6. Step 6: Final answer
    x = 521,113.50

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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.