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Finding the Third Proportional to 200,824 and 434,711

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Solution

The third proportional to 200,824 and 434,711 is: 940,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824 : 434,711 = 434,711 : x
  2. Step 2: Convert to fraction form
    200,824/434,711 = 434,711/x
  3. Step 3: Cross multiply
    200,824x = 434,711 × 434,711
  4. Step 4: Simplify right side
    200,824x = 188,973,653,521
  5. Step 5: Solve for x
    x = 188,973,653,521/200,824
  6. Step 6: Final answer
    x = 940,991.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.