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Finding the Third Proportional to 179,339 and 393,508

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Solution

The third proportional to 179,339 and 393,508 is: 863,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,339 : 393,508 = 393,508 : x
  2. Step 2: Convert to fraction form
    179,339/393,508 = 393,508/x
  3. Step 3: Cross multiply
    179,339x = 393,508 × 393,508
  4. Step 4: Simplify right side
    179,339x = 154,848,546,064
  5. Step 5: Solve for x
    x = 154,848,546,064/179,339
  6. Step 6: Final answer
    x = 863,440.45

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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.