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Finding the Third Proportional to 282,286.50 and 605,505

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Solution

The third proportional to 282,286.50 and 605,505 is: 1,298,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,286.50 : 605,505 = 605,505 : x
  2. Step 2: Convert to fraction form
    282,286.50/605,505 = 605,505/x
  3. Step 3: Cross multiply
    282,286.50x = 605,505 × 605,505
  4. Step 4: Simplify right side
    282,286.50x = 366,636,305,025
  5. Step 5: Solve for x
    x = 366,636,305,025/282,286.50
  6. Step 6: Final answer
    x = 1,298,809.21

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Why These Related Problems?

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