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Finding the Third Proportional to 77,982 and 168,924

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Solution

The third proportional to 77,982 and 168,924 is: 365,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982 : 168,924 = 168,924 : x
  2. Step 2: Convert to fraction form
    77,982/168,924 = 168,924/x
  3. Step 3: Cross multiply
    77,982x = 168,924 × 168,924
  4. Step 4: Simplify right side
    77,982x = 28,535,317,776
  5. Step 5: Solve for x
    x = 28,535,317,776/77,982
  6. Step 6: Final answer
    x = 365,921.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.