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Finding the Third Proportional to 213,978 and 331,143

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Solution

The third proportional to 213,978 and 331,143 is: 512,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978 : 331,143 = 331,143 : x
  2. Step 2: Convert to fraction form
    213,978/331,143 = 331,143/x
  3. Step 3: Cross multiply
    213,978x = 331,143 × 331,143
  4. Step 4: Simplify right side
    213,978x = 109,655,686,449
  5. Step 5: Solve for x
    x = 109,655,686,449/213,978
  6. Step 6: Final answer
    x = 512,462.43

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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.