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Finding the Third Proportional to 77,660 and 160,274

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Solution

The third proportional to 77,660 and 160,274 is: 330,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660 : 160,274 = 160,274 : x
  2. Step 2: Convert to fraction form
    77,660/160,274 = 160,274/x
  3. Step 3: Cross multiply
    77,660x = 160,274 × 160,274
  4. Step 4: Simplify right side
    77,660x = 25,687,755,076
  5. Step 5: Solve for x
    x = 25,687,755,076/77,660
  6. Step 6: Final answer
    x = 330,772.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.