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Finding the Third Proportional to 133,734 and 207,742

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Solution

The third proportional to 133,734 and 207,742 is: 322,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,734 : 207,742 = 207,742 : x
  2. Step 2: Convert to fraction form
    133,734/207,742 = 207,742/x
  3. Step 3: Cross multiply
    133,734x = 207,742 × 207,742
  4. Step 4: Simplify right side
    133,734x = 43,156,738,564
  5. Step 5: Solve for x
    x = 43,156,738,564/133,734
  6. Step 6: Final answer
    x = 322,705.81

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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.