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Finding the Third Proportional to 386,005 and 850,540

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Solution

The third proportional to 386,005 and 850,540 is: 1,874,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,005 : 850,540 = 850,540 : x
  2. Step 2: Convert to fraction form
    386,005/850,540 = 850,540/x
  3. Step 3: Cross multiply
    386,005x = 850,540 × 850,540
  4. Step 4: Simplify right side
    386,005x = 723,418,291,600
  5. Step 5: Solve for x
    x = 723,418,291,600/386,005
  6. Step 6: Final answer
    x = 1,874,116.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.