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Finding the Third Proportional to 200,420 and 417,425

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Solution

The third proportional to 200,420 and 417,425 is: 869,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420 : 417,425 = 417,425 : x
  2. Step 2: Convert to fraction form
    200,420/417,425 = 417,425/x
  3. Step 3: Cross multiply
    200,420x = 417,425 × 417,425
  4. Step 4: Simplify right side
    200,420x = 174,243,630,625
  5. Step 5: Solve for x
    x = 174,243,630,625/200,420
  6. Step 6: Final answer
    x = 869,392.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.