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Finding the Third Proportional to 434,910 and 899,653

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Solution

The third proportional to 434,910 and 899,653 is: 1,861,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,910 : 899,653 = 899,653 : x
  2. Step 2: Convert to fraction form
    434,910/899,653 = 899,653/x
  3. Step 3: Cross multiply
    434,910x = 899,653 × 899,653
  4. Step 4: Simplify right side
    434,910x = 809,375,520,409
  5. Step 5: Solve for x
    x = 809,375,520,409/434,910
  6. Step 6: Final answer
    x = 1,861,018.42

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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.