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Finding the Third Proportional to 102,800 and 158,869

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Solution

The third proportional to 102,800 and 158,869 is: 245,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800 : 158,869 = 158,869 : x
  2. Step 2: Convert to fraction form
    102,800/158,869 = 158,869/x
  3. Step 3: Cross multiply
    102,800x = 158,869 × 158,869
  4. Step 4: Simplify right side
    102,800x = 25,239,359,161
  5. Step 5: Solve for x
    x = 25,239,359,161/102,800
  6. Step 6: Final answer
    x = 245,519.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.