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Finding the Third Proportional to 103,837 and 136,345

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Solution

The third proportional to 103,837 and 136,345 is: 179,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,837 : 136,345 = 136,345 : x
  2. Step 2: Convert to fraction form
    103,837/136,345 = 136,345/x
  3. Step 3: Cross multiply
    103,837x = 136,345 × 136,345
  4. Step 4: Simplify right side
    103,837x = 18,589,959,025
  5. Step 5: Solve for x
    x = 18,589,959,025/103,837
  6. Step 6: Final answer
    x = 179,030.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.