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Finding the Third Proportional to 155,286 and 334,346

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Solution

The third proportional to 155,286 and 334,346 is: 719,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286 : 334,346 = 334,346 : x
  2. Step 2: Convert to fraction form
    155,286/334,346 = 334,346/x
  3. Step 3: Cross multiply
    155,286x = 334,346 × 334,346
  4. Step 4: Simplify right side
    155,286x = 111,787,247,716
  5. Step 5: Solve for x
    x = 111,787,247,716/155,286
  6. Step 6: Final answer
    x = 719,879.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.