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Finding the Third Proportional to 133,809.94 and 207,515.34

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Solution

The third proportional to 133,809.94 and 207,515.34 is: 321,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.94 : 207,515.34 = 207,515.34 : x
  2. Step 2: Convert to fraction form
    133,809.94/207,515.34 = 207,515.34/x
  3. Step 3: Cross multiply
    133,809.94x = 207,515.34 × 207,515.34
  4. Step 4: Simplify right side
    133,809.94x = 43,062,617,891.68
  5. Step 5: Solve for x
    x = 43,062,617,891.68/133,809.94
  6. Step 6: Final answer
    x = 321,819.28

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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.