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Finding the Third Proportional to 221,974 and 347,837

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Solution

The third proportional to 221,974 and 347,837 is: 545,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,974 : 347,837 = 347,837 : x
  2. Step 2: Convert to fraction form
    221,974/347,837 = 347,837/x
  3. Step 3: Cross multiply
    221,974x = 347,837 × 347,837
  4. Step 4: Simplify right side
    221,974x = 120,990,578,569
  5. Step 5: Solve for x
    x = 120,990,578,569/221,974
  6. Step 6: Final answer
    x = 545,066.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.