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Finding the Third Proportional to 183,724 and 397,897

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Solution

The third proportional to 183,724 and 397,897 is: 861,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,724 : 397,897 = 397,897 : x
  2. Step 2: Convert to fraction form
    183,724/397,897 = 397,897/x
  3. Step 3: Cross multiply
    183,724x = 397,897 × 397,897
  4. Step 4: Simplify right side
    183,724x = 158,322,022,609
  5. Step 5: Solve for x
    x = 158,322,022,609/183,724
  6. Step 6: Final answer
    x = 861,738.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.