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Finding the Third Proportional to 152,131.50 and 339,243

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Solution

The third proportional to 152,131.50 and 339,243 is: 756,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,131.50 : 339,243 = 339,243 : x
  2. Step 2: Convert to fraction form
    152,131.50/339,243 = 339,243/x
  3. Step 3: Cross multiply
    152,131.50x = 339,243 × 339,243
  4. Step 4: Simplify right side
    152,131.50x = 115,085,813,049
  5. Step 5: Solve for x
    x = 115,085,813,049/152,131.50
  6. Step 6: Final answer
    x = 756,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.