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Finding the Third Proportional to 190,435 and 279,759

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Solution

The third proportional to 190,435 and 279,759 is: 410,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,435 : 279,759 = 279,759 : x
  2. Step 2: Convert to fraction form
    190,435/279,759 = 279,759/x
  3. Step 3: Cross multiply
    190,435x = 279,759 × 279,759
  4. Step 4: Simplify right side
    190,435x = 78,265,098,081
  5. Step 5: Solve for x
    x = 78,265,098,081/190,435
  6. Step 6: Final answer
    x = 410,980.64

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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.