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Finding the Third Proportional to 141,721 and 311,088

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Solution

The third proportional to 141,721 and 311,088 is: 682,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,721 : 311,088 = 311,088 : x
  2. Step 2: Convert to fraction form
    141,721/311,088 = 311,088/x
  3. Step 3: Cross multiply
    141,721x = 311,088 × 311,088
  4. Step 4: Simplify right side
    141,721x = 96,775,743,744
  5. Step 5: Solve for x
    x = 96,775,743,744/141,721
  6. Step 6: Final answer
    x = 682,861.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.