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Finding the Third Proportional to 121,107 and 188,169

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Solution

The third proportional to 121,107 and 188,169 is: 292,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,107 : 188,169 = 188,169 : x
  2. Step 2: Convert to fraction form
    121,107/188,169 = 188,169/x
  3. Step 3: Cross multiply
    121,107x = 188,169 × 188,169
  4. Step 4: Simplify right side
    121,107x = 35,407,572,561
  5. Step 5: Solve for x
    x = 35,407,572,561/121,107
  6. Step 6: Final answer
    x = 292,366.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.