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Finding the Third Proportional to 179,961 and 393,820

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Solution

The third proportional to 179,961 and 393,820 is: 861,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,961 : 393,820 = 393,820 : x
  2. Step 2: Convert to fraction form
    179,961/393,820 = 393,820/x
  3. Step 3: Cross multiply
    179,961x = 393,820 × 393,820
  4. Step 4: Simplify right side
    179,961x = 155,094,192,400
  5. Step 5: Solve for x
    x = 155,094,192,400/179,961
  6. Step 6: Final answer
    x = 861,821.13

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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.