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Finding the Third Proportional to 179,778 and 393,180

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Solution

The third proportional to 179,778 and 393,180 is: 859,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,778 : 393,180 = 393,180 : x
  2. Step 2: Convert to fraction form
    179,778/393,180 = 393,180/x
  3. Step 3: Cross multiply
    179,778x = 393,180 × 393,180
  4. Step 4: Simplify right side
    179,778x = 154,590,512,400
  5. Step 5: Solve for x
    x = 154,590,512,400/179,778
  6. Step 6: Final answer
    x = 859,896.72

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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.