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Finding the Third Proportional to 200,743 and 438,421

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Solution

The third proportional to 200,743 and 438,421 is: 957,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743 : 438,421 = 438,421 : x
  2. Step 2: Convert to fraction form
    200,743/438,421 = 438,421/x
  3. Step 3: Cross multiply
    200,743x = 438,421 × 438,421
  4. Step 4: Simplify right side
    200,743x = 192,212,973,241
  5. Step 5: Solve for x
    x = 192,212,973,241/200,743
  6. Step 6: Final answer
    x = 957,507.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.