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Finding the Third Proportional to 377,763 and 821,985

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Solution

The third proportional to 377,763 and 821,985 is: 1,788,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,763 : 821,985 = 821,985 : x
  2. Step 2: Convert to fraction form
    377,763/821,985 = 821,985/x
  3. Step 3: Cross multiply
    377,763x = 821,985 × 821,985
  4. Step 4: Simplify right side
    377,763x = 675,659,340,225
  5. Step 5: Solve for x
    x = 675,659,340,225/377,763
  6. Step 6: Final answer
    x = 1,788,579.98

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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.