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Finding the Third Proportional to 81,655 and 174,974

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Solution

The third proportional to 81,655 and 174,974 is: 374,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,655 : 174,974 = 174,974 : x
  2. Step 2: Convert to fraction form
    81,655/174,974 = 174,974/x
  3. Step 3: Cross multiply
    81,655x = 174,974 × 174,974
  4. Step 4: Simplify right side
    81,655x = 30,615,900,676
  5. Step 5: Solve for x
    x = 30,615,900,676/81,655
  6. Step 6: Final answer
    x = 374,942.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.