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Finding the Third Proportional to 179,974 and 393,842

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Solution

The third proportional to 179,974 and 393,842 is: 861,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,974 : 393,842 = 393,842 : x
  2. Step 2: Convert to fraction form
    179,974/393,842 = 393,842/x
  3. Step 3: Cross multiply
    179,974x = 393,842 × 393,842
  4. Step 4: Simplify right side
    179,974x = 155,111,520,964
  5. Step 5: Solve for x
    x = 155,111,520,964/179,974
  6. Step 6: Final answer
    x = 861,855.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.