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Finding the Third Proportional to 103,485 and 158,198

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Solution

The third proportional to 103,485 and 158,198 is: 241,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485 : 158,198 = 158,198 : x
  2. Step 2: Convert to fraction form
    103,485/158,198 = 158,198/x
  3. Step 3: Cross multiply
    103,485x = 158,198 × 158,198
  4. Step 4: Simplify right side
    103,485x = 25,026,607,204
  5. Step 5: Solve for x
    x = 25,026,607,204/103,485
  6. Step 6: Final answer
    x = 241,838.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.