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Finding the Third Proportional to 200,971 and 319,906

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Solution

The third proportional to 200,971 and 319,906 is: 509,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971 : 319,906 = 319,906 : x
  2. Step 2: Convert to fraction form
    200,971/319,906 = 319,906/x
  3. Step 3: Cross multiply
    200,971x = 319,906 × 319,906
  4. Step 4: Simplify right side
    200,971x = 102,339,848,836
  5. Step 5: Solve for x
    x = 102,339,848,836/200,971
  6. Step 6: Final answer
    x = 509,226.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.