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Finding the Third Proportional to 100,698 and 136,278

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Solution

The third proportional to 100,698 and 136,278 is: 184,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698 : 136,278 = 136,278 : x
  2. Step 2: Convert to fraction form
    100,698/136,278 = 136,278/x
  3. Step 3: Cross multiply
    100,698x = 136,278 × 136,278
  4. Step 4: Simplify right side
    100,698x = 18,571,693,284
  5. Step 5: Solve for x
    x = 18,571,693,284/100,698
  6. Step 6: Final answer
    x = 184,429.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.