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Finding the Third Proportional to 199,410 and 433,812

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Solution

The third proportional to 199,410 and 433,812 is: 943,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,410 : 433,812 = 433,812 : x
  2. Step 2: Convert to fraction form
    199,410/433,812 = 433,812/x
  3. Step 3: Cross multiply
    199,410x = 433,812 × 433,812
  4. Step 4: Simplify right side
    199,410x = 188,192,851,344
  5. Step 5: Solve for x
    x = 188,192,851,344/199,410
  6. Step 6: Final answer
    x = 943,748.31

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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.