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Finding the Third Proportional to 210,882 and 331,431

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Solution

The third proportional to 210,882 and 331,431 is: 520,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,882 : 331,431 = 331,431 : x
  2. Step 2: Convert to fraction form
    210,882/331,431 = 331,431/x
  3. Step 3: Cross multiply
    210,882x = 331,431 × 331,431
  4. Step 4: Simplify right side
    210,882x = 109,846,507,761
  5. Step 5: Solve for x
    x = 109,846,507,761/210,882
  6. Step 6: Final answer
    x = 520,890.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.