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Finding the Third Proportional to 231,021 and 345,591

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Solution

The third proportional to 231,021 and 345,591 is: 516,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,021 : 345,591 = 345,591 : x
  2. Step 2: Convert to fraction form
    231,021/345,591 = 345,591/x
  3. Step 3: Cross multiply
    231,021x = 345,591 × 345,591
  4. Step 4: Simplify right side
    231,021x = 119,433,139,281
  5. Step 5: Solve for x
    x = 119,433,139,281/231,021
  6. Step 6: Final answer
    x = 516,979.58

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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.