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Finding the Third Proportional to 335,069 and 518,156

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Solution

The third proportional to 335,069 and 518,156 is: 801,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,069 : 518,156 = 518,156 : x
  2. Step 2: Convert to fraction form
    335,069/518,156 = 518,156/x
  3. Step 3: Cross multiply
    335,069x = 518,156 × 518,156
  4. Step 4: Simplify right side
    335,069x = 268,485,640,336
  5. Step 5: Solve for x
    x = 268,485,640,336/335,069
  6. Step 6: Final answer
    x = 801,284.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.