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Finding the Third Proportional to 81,368 and 168,974

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Solution

The third proportional to 81,368 and 168,974 is: 350,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,368 : 168,974 = 168,974 : x
  2. Step 2: Convert to fraction form
    81,368/168,974 = 168,974/x
  3. Step 3: Cross multiply
    81,368x = 168,974 × 168,974
  4. Step 4: Simplify right side
    81,368x = 28,552,212,676
  5. Step 5: Solve for x
    x = 28,552,212,676/81,368
  6. Step 6: Final answer
    x = 350,902.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.