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Finding the Third Proportional to 155,974 and 343,724

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Solution

The third proportional to 155,974 and 343,724 is: 757,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,974 : 343,724 = 343,724 : x
  2. Step 2: Convert to fraction form
    155,974/343,724 = 343,724/x
  3. Step 3: Cross multiply
    155,974x = 343,724 × 343,724
  4. Step 4: Simplify right side
    155,974x = 118,146,188,176
  5. Step 5: Solve for x
    x = 118,146,188,176/155,974
  6. Step 6: Final answer
    x = 757,473.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.