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Finding the Third Proportional to 274,038 and 409,939.50

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Solution

The third proportional to 274,038 and 409,939.50 is: 613,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,038 : 409,939.50 = 409,939.50 : x
  2. Step 2: Convert to fraction form
    274,038/409,939.50 = 409,939.50/x
  3. Step 3: Cross multiply
    274,038x = 409,939.50 × 409,939.50
  4. Step 4: Simplify right side
    274,038x = 168,050,393,660.25
  5. Step 5: Solve for x
    x = 168,050,393,660.25/274,038
  6. Step 6: Final answer
    x = 613,237.56

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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.