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Finding the Third Proportional to 199,714 and 434,420

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Solution

The third proportional to 199,714 and 434,420 is: 944,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,714 : 434,420 = 434,420 : x
  2. Step 2: Convert to fraction form
    199,714/434,420 = 434,420/x
  3. Step 3: Cross multiply
    199,714x = 434,420 × 434,420
  4. Step 4: Simplify right side
    199,714x = 188,720,736,400
  5. Step 5: Solve for x
    x = 188,720,736,400/199,714
  6. Step 6: Final answer
    x = 944,954.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.