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Finding the Third Proportional to 230,844 and 345,339

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Solution

The third proportional to 230,844 and 345,339 is: 516,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,844 : 345,339 = 345,339 : x
  2. Step 2: Convert to fraction form
    230,844/345,339 = 345,339/x
  3. Step 3: Cross multiply
    230,844x = 345,339 × 345,339
  4. Step 4: Simplify right side
    230,844x = 119,259,024,921
  5. Step 5: Solve for x
    x = 119,259,024,921/230,844
  6. Step 6: Final answer
    x = 516,621.72

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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.