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Finding the Third Proportional to 137,428.31 and 298,356.75

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Solution

The third proportional to 137,428.31 and 298,356.75 is: 647,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428.31 : 298,356.75 = 298,356.75 : x
  2. Step 2: Convert to fraction form
    137,428.31/298,356.75 = 298,356.75/x
  3. Step 3: Cross multiply
    137,428.31x = 298,356.75 × 298,356.75
  4. Step 4: Simplify right side
    137,428.31x = 89,016,750,270.56
  5. Step 5: Solve for x
    x = 89,016,750,270.56/137,428.31
  6. Step 6: Final answer
    x = 647,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.