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Finding the Third Proportional to 199,469 and 426,964

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Solution

The third proportional to 199,469 and 426,964 is: 913,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469 : 426,964 = 426,964 : x
  2. Step 2: Convert to fraction form
    199,469/426,964 = 426,964/x
  3. Step 3: Cross multiply
    199,469x = 426,964 × 426,964
  4. Step 4: Simplify right side
    199,469x = 182,298,257,296
  5. Step 5: Solve for x
    x = 182,298,257,296/199,469
  6. Step 6: Final answer
    x = 913,917.74

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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.