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Finding the Third Proportional to 87,397 and 190,669

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Solution

The third proportional to 87,397 and 190,669 is: 415,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,397 : 190,669 = 190,669 : x
  2. Step 2: Convert to fraction form
    87,397/190,669 = 190,669/x
  3. Step 3: Cross multiply
    87,397x = 190,669 × 190,669
  4. Step 4: Simplify right side
    87,397x = 36,354,667,561
  5. Step 5: Solve for x
    x = 36,354,667,561/87,397
  6. Step 6: Final answer
    x = 415,971.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.