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Finding the Third Proportional to 138,908 and 298,524

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Solution

The third proportional to 138,908 and 298,524 is: 641,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908 : 298,524 = 298,524 : x
  2. Step 2: Convert to fraction form
    138,908/298,524 = 298,524/x
  3. Step 3: Cross multiply
    138,908x = 298,524 × 298,524
  4. Step 4: Simplify right side
    138,908x = 89,116,578,576
  5. Step 5: Solve for x
    x = 89,116,578,576/138,908
  6. Step 6: Final answer
    x = 641,551.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.