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Finding the Third Proportional to 384,885 and 844,128

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Solution

The third proportional to 384,885 and 844,128 is: 1,851,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,885 : 844,128 = 844,128 : x
  2. Step 2: Convert to fraction form
    384,885/844,128 = 844,128/x
  3. Step 3: Cross multiply
    384,885x = 844,128 × 844,128
  4. Step 4: Simplify right side
    384,885x = 712,552,080,384
  5. Step 5: Solve for x
    x = 712,552,080,384/384,885
  6. Step 6: Final answer
    x = 1,851,337.62

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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.