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Finding the Third Proportional to 133,315 and 188,636

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Solution

The third proportional to 133,315 and 188,636 is: 266,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,315 : 188,636 = 188,636 : x
  2. Step 2: Convert to fraction form
    133,315/188,636 = 188,636/x
  3. Step 3: Cross multiply
    133,315x = 188,636 × 188,636
  4. Step 4: Simplify right side
    133,315x = 35,583,540,496
  5. Step 5: Solve for x
    x = 35,583,540,496/133,315
  6. Step 6: Final answer
    x = 266,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.