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Finding the Third Proportional to 145,551 and 231,449

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Solution

The third proportional to 145,551 and 231,449 is: 368,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,551 : 231,449 = 231,449 : x
  2. Step 2: Convert to fraction form
    145,551/231,449 = 231,449/x
  3. Step 3: Cross multiply
    145,551x = 231,449 × 231,449
  4. Step 4: Simplify right side
    145,551x = 53,568,639,601
  5. Step 5: Solve for x
    x = 53,568,639,601/145,551
  6. Step 6: Final answer
    x = 368,040.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.