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Finding the Third Proportional to 152,867 and 231,609

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Solution

The third proportional to 152,867 and 231,609 is: 350,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,867 : 231,609 = 231,609 : x
  2. Step 2: Convert to fraction form
    152,867/231,609 = 231,609/x
  3. Step 3: Cross multiply
    152,867x = 231,609 × 231,609
  4. Step 4: Simplify right side
    152,867x = 53,642,728,881
  5. Step 5: Solve for x
    x = 53,642,728,881/152,867
  6. Step 6: Final answer
    x = 350,911.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.