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Finding the Third Proportional to 121,086 and 188,136

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Solution

The third proportional to 121,086 and 188,136 is: 292,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086 : 188,136 = 188,136 : x
  2. Step 2: Convert to fraction form
    121,086/188,136 = 188,136/x
  3. Step 3: Cross multiply
    121,086x = 188,136 × 188,136
  4. Step 4: Simplify right side
    121,086x = 35,395,154,496
  5. Step 5: Solve for x
    x = 35,395,154,496/121,086
  6. Step 6: Final answer
    x = 292,314.18

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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.