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Finding the Third Proportional to 197,772 and 438,252

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Solution

The third proportional to 197,772 and 438,252 is: 971,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,772 : 438,252 = 438,252 : x
  2. Step 2: Convert to fraction form
    197,772/438,252 = 438,252/x
  3. Step 3: Cross multiply
    197,772x = 438,252 × 438,252
  4. Step 4: Simplify right side
    197,772x = 192,064,815,504
  5. Step 5: Solve for x
    x = 192,064,815,504/197,772
  6. Step 6: Final answer
    x = 971,142.61

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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.