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Finding the Third Proportional to 377,656 and 821,716

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Solution

The third proportional to 377,656 and 821,716 is: 1,787,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,656 : 821,716 = 821,716 : x
  2. Step 2: Convert to fraction form
    377,656/821,716 = 821,716/x
  3. Step 3: Cross multiply
    377,656x = 821,716 × 821,716
  4. Step 4: Simplify right side
    377,656x = 675,217,184,656
  5. Step 5: Solve for x
    x = 675,217,184,656/377,656
  6. Step 6: Final answer
    x = 1,787,915.95

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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.