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Finding the Third Proportional to 136,194 and 290,916

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Solution

The third proportional to 136,194 and 290,916 is: 621,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,194 : 290,916 = 290,916 : x
  2. Step 2: Convert to fraction form
    136,194/290,916 = 290,916/x
  3. Step 3: Cross multiply
    136,194x = 290,916 × 290,916
  4. Step 4: Simplify right side
    136,194x = 84,632,119,056
  5. Step 5: Solve for x
    x = 84,632,119,056/136,194
  6. Step 6: Final answer
    x = 621,408.57

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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.