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Finding the Third Proportional to 179,378 and 393,742

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Solution

The third proportional to 179,378 and 393,742 is: 864,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,378 : 393,742 = 393,742 : x
  2. Step 2: Convert to fraction form
    179,378/393,742 = 393,742/x
  3. Step 3: Cross multiply
    179,378x = 393,742 × 393,742
  4. Step 4: Simplify right side
    179,378x = 155,032,762,564
  5. Step 5: Solve for x
    x = 155,032,762,564/179,378
  6. Step 6: Final answer
    x = 864,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.