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Finding the Third Proportional to 377,648 and 821,702

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Solution

The third proportional to 377,648 and 821,702 is: 1,787,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,648 : 821,702 = 821,702 : x
  2. Step 2: Convert to fraction form
    377,648/821,702 = 821,702/x
  3. Step 3: Cross multiply
    377,648x = 821,702 × 821,702
  4. Step 4: Simplify right side
    377,648x = 675,194,176,804
  5. Step 5: Solve for x
    x = 675,194,176,804/377,648
  6. Step 6: Final answer
    x = 1,787,892.90

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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.