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Finding the Third Proportional to 133,089 and 191,306

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Solution

The third proportional to 133,089 and 191,306 is: 274,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 191,306 = 191,306 : x
  2. Step 2: Convert to fraction form
    133,089/191,306 = 191,306/x
  3. Step 3: Cross multiply
    133,089x = 191,306 × 191,306
  4. Step 4: Simplify right side
    133,089x = 36,597,985,636
  5. Step 5: Solve for x
    x = 36,597,985,636/133,089
  6. Step 6: Final answer
    x = 274,988.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.