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Finding the Third Proportional to 81,080 and 174,272

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Solution

The third proportional to 81,080 and 174,272 is: 374,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,080 : 174,272 = 174,272 : x
  2. Step 2: Convert to fraction form
    81,080/174,272 = 174,272/x
  3. Step 3: Cross multiply
    81,080x = 174,272 × 174,272
  4. Step 4: Simplify right side
    81,080x = 30,370,729,984
  5. Step 5: Solve for x
    x = 30,370,729,984/81,080
  6. Step 6: Final answer
    x = 374,577.33

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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.