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Finding the Third Proportional to 133,900 and 207,450

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Solution

The third proportional to 133,900 and 207,450 is: 321,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,900 : 207,450 = 207,450 : x
  2. Step 2: Convert to fraction form
    133,900/207,450 = 207,450/x
  3. Step 3: Cross multiply
    133,900x = 207,450 × 207,450
  4. Step 4: Simplify right side
    133,900x = 43,035,502,500
  5. Step 5: Solve for x
    x = 43,035,502,500/133,900
  6. Step 6: Final answer
    x = 321,400.32

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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.