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Finding the Third Proportional to 312,318 and 494,058

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Solution

The third proportional to 312,318 and 494,058 is: 781,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,318 : 494,058 = 494,058 : x
  2. Step 2: Convert to fraction form
    312,318/494,058 = 494,058/x
  3. Step 3: Cross multiply
    312,318x = 494,058 × 494,058
  4. Step 4: Simplify right side
    312,318x = 244,093,307,364
  5. Step 5: Solve for x
    x = 244,093,307,364/312,318
  6. Step 6: Final answer
    x = 781,553.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.