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Finding the Third Proportional to 197,880 and 438,444

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Solution

The third proportional to 197,880 and 438,444 is: 971,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,880 : 438,444 = 438,444 : x
  2. Step 2: Convert to fraction form
    197,880/438,444 = 438,444/x
  3. Step 3: Cross multiply
    197,880x = 438,444 × 438,444
  4. Step 4: Simplify right side
    197,880x = 192,233,141,136
  5. Step 5: Solve for x
    x = 192,233,141,136/197,880
  6. Step 6: Final answer
    x = 971,463.22

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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.