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Finding the Third Proportional to 376,851 and 821,347

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Solution

The third proportional to 376,851 and 821,347 is: 1,790,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,851 : 821,347 = 821,347 : x
  2. Step 2: Convert to fraction form
    376,851/821,347 = 821,347/x
  3. Step 3: Cross multiply
    376,851x = 821,347 × 821,347
  4. Step 4: Simplify right side
    376,851x = 674,610,894,409
  5. Step 5: Solve for x
    x = 674,610,894,409/376,851
  6. Step 6: Final answer
    x = 1,790,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.