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Finding the Third Proportional to 273,631 and 409,345.50

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Solution

The third proportional to 273,631 and 409,345.50 is: 612,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,631 : 409,345.50 = 409,345.50 : x
  2. Step 2: Convert to fraction form
    273,631/409,345.50 = 409,345.50/x
  3. Step 3: Cross multiply
    273,631x = 409,345.50 × 409,345.50
  4. Step 4: Simplify right side
    273,631x = 167,563,738,370.25
  5. Step 5: Solve for x
    x = 167,563,738,370.25/273,631
  6. Step 6: Final answer
    x = 612,371.18

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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.