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Finding the Third Proportional to 411,412 and 899,720

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Solution

The third proportional to 411,412 and 899,720 is: 1,967,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,412 : 899,720 = 899,720 : x
  2. Step 2: Convert to fraction form
    411,412/899,720 = 899,720/x
  3. Step 3: Cross multiply
    411,412x = 899,720 × 899,720
  4. Step 4: Simplify right side
    411,412x = 809,496,078,400
  5. Step 5: Solve for x
    x = 809,496,078,400/411,412
  6. Step 6: Final answer
    x = 1,967,604.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.