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Finding the Third Proportional to 197,838 and 438,372

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Solution

The third proportional to 197,838 and 438,372 is: 971,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,838 : 438,372 = 438,372 : x
  2. Step 2: Convert to fraction form
    197,838/438,372 = 438,372/x
  3. Step 3: Cross multiply
    197,838x = 438,372 × 438,372
  4. Step 4: Simplify right side
    197,838x = 192,170,010,384
  5. Step 5: Solve for x
    x = 192,170,010,384/197,838
  6. Step 6: Final answer
    x = 971,350.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.