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Finding the Third Proportional to 68,917.50 and 149,134.50

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Solution

The third proportional to 68,917.50 and 149,134.50 is: 322,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,917.50 : 149,134.50 = 149,134.50 : x
  2. Step 2: Convert to fraction form
    68,917.50/149,134.50 = 149,134.50/x
  3. Step 3: Cross multiply
    68,917.50x = 149,134.50 × 149,134.50
  4. Step 4: Simplify right side
    68,917.50x = 22,241,099,090.25
  5. Step 5: Solve for x
    x = 22,241,099,090.25/68,917.50
  6. Step 6: Final answer
    x = 322,720.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.