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Finding the Third Proportional to 138,766 and 303,214

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Solution

The third proportional to 138,766 and 303,214 is: 662,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766 : 303,214 = 303,214 : x
  2. Step 2: Convert to fraction form
    138,766/303,214 = 303,214/x
  3. Step 3: Cross multiply
    138,766x = 303,214 × 303,214
  4. Step 4: Simplify right side
    138,766x = 91,938,729,796
  5. Step 5: Solve for x
    x = 91,938,729,796/138,766
  6. Step 6: Final answer
    x = 662,545.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.