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Finding the Third Proportional to 259,455.66 and 394,434.56

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Solution

The third proportional to 259,455.66 and 394,434.56 is: 599,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,455.66 : 394,434.56 = 394,434.56 : x
  2. Step 2: Convert to fraction form
    259,455.66/394,434.56 = 394,434.56/x
  3. Step 3: Cross multiply
    259,455.66x = 394,434.56 × 394,434.56
  4. Step 4: Simplify right side
    259,455.66x = 155,578,624,094.57
  5. Step 5: Solve for x
    x = 155,578,624,094.57/259,455.66
  6. Step 6: Final answer
    x = 599,634.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.