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Finding the Third Proportional to 138,453.89 and 207,450.28

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Solution

The third proportional to 138,453.89 and 207,450.28 is: 310,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453.89 : 207,450.28 = 207,450.28 : x
  2. Step 2: Convert to fraction form
    138,453.89/207,450.28 = 207,450.28/x
  3. Step 3: Cross multiply
    138,453.89x = 207,450.28 × 207,450.28
  4. Step 4: Simplify right side
    138,453.89x = 43,035,619,190.70
  5. Step 5: Solve for x
    x = 43,035,619,190.70/138,453.89
  6. Step 6: Final answer
    x = 310,829.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.