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Finding the Third Proportional to 434,467 and 908,659

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Solution

The third proportional to 434,467 and 908,659 is: 1,900,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,467 : 908,659 = 908,659 : x
  2. Step 2: Convert to fraction form
    434,467/908,659 = 908,659/x
  3. Step 3: Cross multiply
    434,467x = 908,659 × 908,659
  4. Step 4: Simplify right side
    434,467x = 825,661,178,281
  5. Step 5: Solve for x
    x = 825,661,178,281/434,467
  6. Step 6: Final answer
    x = 1,900,400.21

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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.