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Finding the Third Proportional to 61,116 and 135,355

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Solution

The third proportional to 61,116 and 135,355 is: 299,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,116 : 135,355 = 135,355 : x
  2. Step 2: Convert to fraction form
    61,116/135,355 = 135,355/x
  3. Step 3: Cross multiply
    61,116x = 135,355 × 135,355
  4. Step 4: Simplify right side
    61,116x = 18,320,976,025
  5. Step 5: Solve for x
    x = 18,320,976,025/61,116
  6. Step 6: Final answer
    x = 299,773.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.