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Finding the Third Proportional to 133,777 and 196,230

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Solution

The third proportional to 133,777 and 196,230 is: 287,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,777 : 196,230 = 196,230 : x
  2. Step 2: Convert to fraction form
    133,777/196,230 = 196,230/x
  3. Step 3: Cross multiply
    133,777x = 196,230 × 196,230
  4. Step 4: Simplify right side
    133,777x = 38,506,212,900
  5. Step 5: Solve for x
    x = 38,506,212,900/133,777
  6. Step 6: Final answer
    x = 287,838.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.