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Finding the Third Proportional to 133,209 and 187,608

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Solution

The third proportional to 133,209 and 187,608 is: 264,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209 : 187,608 = 187,608 : x
  2. Step 2: Convert to fraction form
    133,209/187,608 = 187,608/x
  3. Step 3: Cross multiply
    133,209x = 187,608 × 187,608
  4. Step 4: Simplify right side
    133,209x = 35,196,761,664
  5. Step 5: Solve for x
    x = 35,196,761,664/133,209
  6. Step 6: Final answer
    x = 264,222.10

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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.