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Finding the Third Proportional to 200,788 and 436,569

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Solution

The third proportional to 200,788 and 436,569 is: 949,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,788 : 436,569 = 436,569 : x
  2. Step 2: Convert to fraction form
    200,788/436,569 = 436,569/x
  3. Step 3: Cross multiply
    200,788x = 436,569 × 436,569
  4. Step 4: Simplify right side
    200,788x = 190,592,491,761
  5. Step 5: Solve for x
    x = 190,592,491,761/200,788
  6. Step 6: Final answer
    x = 949,222.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.