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Finding the Third Proportional to 122,974 and 290,180

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Solution

The third proportional to 122,974 and 290,180 is: 684,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974 : 290,180 = 290,180 : x
  2. Step 2: Convert to fraction form
    122,974/290,180 = 290,180/x
  3. Step 3: Cross multiply
    122,974x = 290,180 × 290,180
  4. Step 4: Simplify right side
    122,974x = 84,204,432,400
  5. Step 5: Solve for x
    x = 84,204,432,400/122,974
  6. Step 6: Final answer
    x = 684,733.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.