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Finding the Third Proportional to 371,121 and 809,634

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Solution

The third proportional to 371,121 and 809,634 is: 1,766,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,121 : 809,634 = 809,634 : x
  2. Step 2: Convert to fraction form
    371,121/809,634 = 809,634/x
  3. Step 3: Cross multiply
    371,121x = 809,634 × 809,634
  4. Step 4: Simplify right side
    371,121x = 655,507,213,956
  5. Step 5: Solve for x
    x = 655,507,213,956/371,121
  6. Step 6: Final answer
    x = 1,766,289.74

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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.