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Finding the Third Proportional to 367,848 and 821,810

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Solution

The third proportional to 367,848 and 821,810 is: 1,836,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,848 : 821,810 = 821,810 : x
  2. Step 2: Convert to fraction form
    367,848/821,810 = 821,810/x
  3. Step 3: Cross multiply
    367,848x = 821,810 × 821,810
  4. Step 4: Simplify right side
    367,848x = 675,371,676,100
  5. Step 5: Solve for x
    x = 675,371,676,100/367,848
  6. Step 6: Final answer
    x = 1,836,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.