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Finding the Third Proportional to 133,936.50 and 207,520.50

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Solution

The third proportional to 133,936.50 and 207,520.50 is: 321,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,936.50 : 207,520.50 = 207,520.50 : x
  2. Step 2: Convert to fraction form
    133,936.50/207,520.50 = 207,520.50/x
  3. Step 3: Cross multiply
    133,936.50x = 207,520.50 × 207,520.50
  4. Step 4: Simplify right side
    133,936.50x = 43,064,757,920.25
  5. Step 5: Solve for x
    x = 43,064,757,920.25/133,936.50
  6. Step 6: Final answer
    x = 321,531.16

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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.