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Finding the Third Proportional to 169,087.50 and 259,989.75

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Solution

The third proportional to 169,087.50 and 259,989.75 is: 399,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,087.50 : 259,989.75 = 259,989.75 : x
  2. Step 2: Convert to fraction form
    169,087.50/259,989.75 = 259,989.75/x
  3. Step 3: Cross multiply
    169,087.50x = 259,989.75 × 259,989.75
  4. Step 4: Simplify right side
    169,087.50x = 67,594,670,105.06
  5. Step 5: Solve for x
    x = 67,594,670,105.06/169,087.50
  6. Step 6: Final answer
    x = 399,761.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.