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Finding the Third Proportional to 200,519 and 417,623

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Solution

The third proportional to 200,519 and 417,623 is: 869,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,519 : 417,623 = 417,623 : x
  2. Step 2: Convert to fraction form
    200,519/417,623 = 417,623/x
  3. Step 3: Cross multiply
    200,519x = 417,623 × 417,623
  4. Step 4: Simplify right side
    200,519x = 174,408,970,129
  5. Step 5: Solve for x
    x = 174,408,970,129/200,519
  6. Step 6: Final answer
    x = 869,787.75

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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.