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Finding the Third Proportional to 197,842 and 438,380

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Solution

The third proportional to 197,842 and 438,380 is: 971,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,842 : 438,380 = 438,380 : x
  2. Step 2: Convert to fraction form
    197,842/438,380 = 438,380/x
  3. Step 3: Cross multiply
    197,842x = 438,380 × 438,380
  4. Step 4: Simplify right side
    197,842x = 192,177,024,400
  5. Step 5: Solve for x
    x = 192,177,024,400/197,842
  6. Step 6: Final answer
    x = 971,366.16

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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.