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Finding the Third Proportional to 200,519 and 431,169

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Solution

The third proportional to 200,519 and 431,169 is: 927,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,519 : 431,169 = 431,169 : x
  2. Step 2: Convert to fraction form
    200,519/431,169 = 431,169/x
  3. Step 3: Cross multiply
    200,519x = 431,169 × 431,169
  4. Step 4: Simplify right side
    200,519x = 185,906,706,561
  5. Step 5: Solve for x
    x = 185,906,706,561/200,519
  6. Step 6: Final answer
    x = 927,127.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.