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Finding the Third Proportional to 231,210 and 345,249

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Solution

The third proportional to 231,210 and 345,249 is: 515,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,210 : 345,249 = 345,249 : x
  2. Step 2: Convert to fraction form
    231,210/345,249 = 345,249/x
  3. Step 3: Cross multiply
    231,210x = 345,249 × 345,249
  4. Step 4: Simplify right side
    231,210x = 119,196,872,001
  5. Step 5: Solve for x
    x = 119,196,872,001/231,210
  6. Step 6: Final answer
    x = 515,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.