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Finding the Third Proportional to 269,808 and 395,964

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Solution

The third proportional to 269,808 and 395,964 is: 581,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,808 : 395,964 = 395,964 : x
  2. Step 2: Convert to fraction form
    269,808/395,964 = 395,964/x
  3. Step 3: Cross multiply
    269,808x = 395,964 × 395,964
  4. Step 4: Simplify right side
    269,808x = 156,787,489,296
  5. Step 5: Solve for x
    x = 156,787,489,296/269,808
  6. Step 6: Final answer
    x = 581,107.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.