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Finding the Third Proportional to 378,712 and 821,799

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Solution

The third proportional to 378,712 and 821,799 is: 1,783,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,712 : 821,799 = 821,799 : x
  2. Step 2: Convert to fraction form
    378,712/821,799 = 821,799/x
  3. Step 3: Cross multiply
    378,712x = 821,799 × 821,799
  4. Step 4: Simplify right side
    378,712x = 675,353,596,401
  5. Step 5: Solve for x
    x = 675,353,596,401/378,712
  6. Step 6: Final answer
    x = 1,783,290.72

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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.