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Finding the Third Proportional to 166,780 and 340,352

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Solution

The third proportional to 166,780 and 340,352 is: 694,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,780 : 340,352 = 340,352 : x
  2. Step 2: Convert to fraction form
    166,780/340,352 = 340,352/x
  3. Step 3: Cross multiply
    166,780x = 340,352 × 340,352
  4. Step 4: Simplify right side
    166,780x = 115,839,483,904
  5. Step 5: Solve for x
    x = 115,839,483,904/166,780
  6. Step 6: Final answer
    x = 694,564.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.