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Finding the Third Proportional to 85,384 and 179,756

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Solution

The third proportional to 85,384 and 179,756 is: 378,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384 : 179,756 = 179,756 : x
  2. Step 2: Convert to fraction form
    85,384/179,756 = 179,756/x
  3. Step 3: Cross multiply
    85,384x = 179,756 × 179,756
  4. Step 4: Simplify right side
    85,384x = 32,312,219,536
  5. Step 5: Solve for x
    x = 32,312,219,536/85,384
  6. Step 6: Final answer
    x = 378,434.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.