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Finding the Third Proportional to 78,133.50 and 161,805

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Solution

The third proportional to 78,133.50 and 161,805 is: 335,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.50 : 161,805 = 161,805 : x
  2. Step 2: Convert to fraction form
    78,133.50/161,805 = 161,805/x
  3. Step 3: Cross multiply
    78,133.50x = 161,805 × 161,805
  4. Step 4: Simplify right side
    78,133.50x = 26,180,858,025
  5. Step 5: Solve for x
    x = 26,180,858,025/78,133.50
  6. Step 6: Final answer
    x = 335,078.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.