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Finding the Third Proportional to 408,449 and 887,742

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Solution

The third proportional to 408,449 and 887,742 is: 1,929,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,449 : 887,742 = 887,742 : x
  2. Step 2: Convert to fraction form
    408,449/887,742 = 887,742/x
  3. Step 3: Cross multiply
    408,449x = 887,742 × 887,742
  4. Step 4: Simplify right side
    408,449x = 788,085,858,564
  5. Step 5: Solve for x
    x = 788,085,858,564/408,449
  6. Step 6: Final answer
    x = 1,929,459.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.