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Finding the Third Proportional to 87,449 and 190,470

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Solution

The third proportional to 87,449 and 190,470 is: 414,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,449 : 190,470 = 190,470 : x
  2. Step 2: Convert to fraction form
    87,449/190,470 = 190,470/x
  3. Step 3: Cross multiply
    87,449x = 190,470 × 190,470
  4. Step 4: Simplify right side
    87,449x = 36,278,820,900
  5. Step 5: Solve for x
    x = 36,278,820,900/87,449
  6. Step 6: Final answer
    x = 414,856.90

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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.