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Finding the Third Proportional to 379,082 and 804,820

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Solution

The third proportional to 379,082 and 804,820 is: 1,708,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,082 : 804,820 = 804,820 : x
  2. Step 2: Convert to fraction form
    379,082/804,820 = 804,820/x
  3. Step 3: Cross multiply
    379,082x = 804,820 × 804,820
  4. Step 4: Simplify right side
    379,082x = 647,735,232,400
  5. Step 5: Solve for x
    x = 647,735,232,400/379,082
  6. Step 6: Final answer
    x = 1,708,694.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.