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Finding the Third Proportional to 77,982 and 171,852

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Solution

The third proportional to 77,982 and 171,852 is: 378,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982 : 171,852 = 171,852 : x
  2. Step 2: Convert to fraction form
    77,982/171,852 = 171,852/x
  3. Step 3: Cross multiply
    77,982x = 171,852 × 171,852
  4. Step 4: Simplify right side
    77,982x = 29,533,109,904
  5. Step 5: Solve for x
    x = 29,533,109,904/77,982
  6. Step 6: Final answer
    x = 378,717.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.