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Finding the Third Proportional to 187,180 and 290,922

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Solution

The third proportional to 187,180 and 290,922 is: 452,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,180 : 290,922 = 290,922 : x
  2. Step 2: Convert to fraction form
    187,180/290,922 = 290,922/x
  3. Step 3: Cross multiply
    187,180x = 290,922 × 290,922
  4. Step 4: Simplify right side
    187,180x = 84,635,610,084
  5. Step 5: Solve for x
    x = 84,635,610,084/187,180
  6. Step 6: Final answer
    x = 452,161.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.