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Finding the Third Proportional to 434,920 and 899,684

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Solution

The third proportional to 434,920 and 899,684 is: 1,861,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,920 : 899,684 = 899,684 : x
  2. Step 2: Convert to fraction form
    434,920/899,684 = 899,684/x
  3. Step 3: Cross multiply
    434,920x = 899,684 × 899,684
  4. Step 4: Simplify right side
    434,920x = 809,431,299,856
  5. Step 5: Solve for x
    x = 809,431,299,856/434,920
  6. Step 6: Final answer
    x = 1,861,103.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.