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Finding the Third Proportional to 386,840 and 820,128

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Solution

The third proportional to 386,840 and 820,128 is: 1,738,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,840 : 820,128 = 820,128 : x
  2. Step 2: Convert to fraction form
    386,840/820,128 = 820,128/x
  3. Step 3: Cross multiply
    386,840x = 820,128 × 820,128
  4. Step 4: Simplify right side
    386,840x = 672,609,936,384
  5. Step 5: Solve for x
    x = 672,609,936,384/386,840
  6. Step 6: Final answer
    x = 1,738,729.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.