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Finding the Third Proportional to 77,852 and 161,240

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Solution

The third proportional to 77,852 and 161,240 is: 333,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852 : 161,240 = 161,240 : x
  2. Step 2: Convert to fraction form
    77,852/161,240 = 161,240/x
  3. Step 3: Cross multiply
    77,852x = 161,240 × 161,240
  4. Step 4: Simplify right side
    77,852x = 25,998,337,600
  5. Step 5: Solve for x
    x = 25,998,337,600/77,852
  6. Step 6: Final answer
    x = 333,945.66

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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.