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Finding the Third Proportional to 200,790 and 322,893

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Solution

The third proportional to 200,790 and 322,893 is: 519,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790 : 322,893 = 322,893 : x
  2. Step 2: Convert to fraction form
    200,790/322,893 = 322,893/x
  3. Step 3: Cross multiply
    200,790x = 322,893 × 322,893
  4. Step 4: Simplify right side
    200,790x = 104,259,889,449
  5. Step 5: Solve for x
    x = 104,259,889,449/200,790
  6. Step 6: Final answer
    x = 519,248.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.