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Finding the Third Proportional to 259,428 and 394,458

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Solution

The third proportional to 259,428 and 394,458 is: 599,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,428 : 394,458 = 394,458 : x
  2. Step 2: Convert to fraction form
    259,428/394,458 = 394,458/x
  3. Step 3: Cross multiply
    259,428x = 394,458 × 394,458
  4. Step 4: Simplify right side
    259,428x = 155,597,113,764
  5. Step 5: Solve for x
    x = 155,597,113,764/259,428
  6. Step 6: Final answer
    x = 599,769.93

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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.