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Finding the Third Proportional to 197,868 and 438,420

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Solution

The third proportional to 197,868 and 438,420 is: 971,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,868 : 438,420 = 438,420 : x
  2. Step 2: Convert to fraction form
    197,868/438,420 = 438,420/x
  3. Step 3: Cross multiply
    197,868x = 438,420 × 438,420
  4. Step 4: Simplify right side
    197,868x = 192,212,096,400
  5. Step 5: Solve for x
    x = 192,212,096,400/197,868
  6. Step 6: Final answer
    x = 971,415.77

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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.