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Finding the Third Proportional to 434,486 and 908,694

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Solution

The third proportional to 434,486 and 908,694 is: 1,900,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,486 : 908,694 = 908,694 : x
  2. Step 2: Convert to fraction form
    434,486/908,694 = 908,694/x
  3. Step 3: Cross multiply
    434,486x = 908,694 × 908,694
  4. Step 4: Simplify right side
    434,486x = 825,724,785,636
  5. Step 5: Solve for x
    x = 825,724,785,636/434,486
  6. Step 6: Final answer
    x = 1,900,463.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.