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Finding the Third Proportional to 199,451 and 426,928

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Solution

The third proportional to 199,451 and 426,928 is: 913,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,451 : 426,928 = 426,928 : x
  2. Step 2: Convert to fraction form
    199,451/426,928 = 426,928/x
  3. Step 3: Cross multiply
    199,451x = 426,928 × 426,928
  4. Step 4: Simplify right side
    199,451x = 182,267,517,184
  5. Step 5: Solve for x
    x = 182,267,517,184/199,451
  6. Step 6: Final answer
    x = 913,846.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.