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Finding the Third Proportional to 102,450 and 158,219

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Solution

The third proportional to 102,450 and 158,219 is: 244,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450 : 158,219 = 158,219 : x
  2. Step 2: Convert to fraction form
    102,450/158,219 = 158,219/x
  3. Step 3: Cross multiply
    102,450x = 158,219 × 158,219
  4. Step 4: Simplify right side
    102,450x = 25,033,251,961
  5. Step 5: Solve for x
    x = 25,033,251,961/102,450
  6. Step 6: Final answer
    x = 244,346.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.