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Finding the Third Proportional to 136,192 and 290,912

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Solution

The third proportional to 136,192 and 290,912 is: 621,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192 : 290,912 = 290,912 : x
  2. Step 2: Convert to fraction form
    136,192/290,912 = 290,912/x
  3. Step 3: Cross multiply
    136,192x = 290,912 × 290,912
  4. Step 4: Simplify right side
    136,192x = 84,629,791,744
  5. Step 5: Solve for x
    x = 84,629,791,744/136,192
  6. Step 6: Final answer
    x = 621,400.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.