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Finding the Third Proportional to 138,968 and 303,028

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Solution

The third proportional to 138,968 and 303,028 is: 660,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,968 : 303,028 = 303,028 : x
  2. Step 2: Convert to fraction form
    138,968/303,028 = 303,028/x
  3. Step 3: Cross multiply
    138,968x = 303,028 × 303,028
  4. Step 4: Simplify right side
    138,968x = 91,825,968,784
  5. Step 5: Solve for x
    x = 91,825,968,784/138,968
  6. Step 6: Final answer
    x = 660,770.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.