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Finding the Third Proportional to 199,400 and 436,240

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Solution

The third proportional to 199,400 and 436,240 is: 954,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,400 : 436,240 = 436,240 : x
  2. Step 2: Convert to fraction form
    199,400/436,240 = 436,240/x
  3. Step 3: Cross multiply
    199,400x = 436,240 × 436,240
  4. Step 4: Simplify right side
    199,400x = 190,305,337,600
  5. Step 5: Solve for x
    x = 190,305,337,600/199,400
  6. Step 6: Final answer
    x = 954,389.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.