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Finding the Third Proportional to 190,510 and 407,245

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Solution

The third proportional to 190,510 and 407,245 is: 870,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,510 : 407,245 = 407,245 : x
  2. Step 2: Convert to fraction form
    190,510/407,245 = 407,245/x
  3. Step 3: Cross multiply
    190,510x = 407,245 × 407,245
  4. Step 4: Simplify right side
    190,510x = 165,848,490,025
  5. Step 5: Solve for x
    x = 165,848,490,025/190,510
  6. Step 6: Final answer
    x = 870,550.05

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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.