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Finding the Third Proportional to 81,120 and 174,721

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Solution

The third proportional to 81,120 and 174,721 is: 376,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,120 : 174,721 = 174,721 : x
  2. Step 2: Convert to fraction form
    81,120/174,721 = 174,721/x
  3. Step 3: Cross multiply
    81,120x = 174,721 × 174,721
  4. Step 4: Simplify right side
    81,120x = 30,527,427,841
  5. Step 5: Solve for x
    x = 30,527,427,841/81,120
  6. Step 6: Final answer
    x = 376,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.