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Finding the Third Proportional to 379,198 and 829,820

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Solution

The third proportional to 379,198 and 829,820 is: 1,815,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,198 : 829,820 = 829,820 : x
  2. Step 2: Convert to fraction form
    379,198/829,820 = 829,820/x
  3. Step 3: Cross multiply
    379,198x = 829,820 × 829,820
  4. Step 4: Simplify right side
    379,198x = 688,601,232,400
  5. Step 5: Solve for x
    x = 688,601,232,400/379,198
  6. Step 6: Final answer
    x = 1,815,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.