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Finding the Third Proportional to 213,900.75 and 331,057.13

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Solution

The third proportional to 213,900.75 and 331,057.13 is: 512,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,900.75 : 331,057.13 = 331,057.13 : x
  2. Step 2: Convert to fraction form
    213,900.75/331,057.13 = 331,057.13/x
  3. Step 3: Cross multiply
    213,900.75x = 331,057.13 × 331,057.13
  4. Step 4: Simplify right side
    213,900.75x = 109,598,820,013.27
  5. Step 5: Solve for x
    x = 109,598,820,013.27/213,900.75
  6. Step 6: Final answer
    x = 512,381.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.