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Finding the Third Proportional to 100,642 and 136,203

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Solution

The third proportional to 100,642 and 136,203 is: 184,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642 : 136,203 = 136,203 : x
  2. Step 2: Convert to fraction form
    100,642/136,203 = 136,203/x
  3. Step 3: Cross multiply
    100,642x = 136,203 × 136,203
  4. Step 4: Simplify right side
    100,642x = 18,551,257,209
  5. Step 5: Solve for x
    x = 18,551,257,209/100,642
  6. Step 6: Final answer
    x = 184,329.18

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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.