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Finding the Third Proportional to 155,361 and 331,058

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Solution

The third proportional to 155,361 and 331,058 is: 705,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,361 : 331,058 = 331,058 : x
  2. Step 2: Convert to fraction form
    155,361/331,058 = 331,058/x
  3. Step 3: Cross multiply
    155,361x = 331,058 × 331,058
  4. Step 4: Simplify right side
    155,361x = 109,599,399,364
  5. Step 5: Solve for x
    x = 109,599,399,364/155,361
  6. Step 6: Final answer
    x = 705,449.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.