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Finding the Third Proportional to 197,191 and 321,960

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Solution

The third proportional to 197,191 and 321,960 is: 525,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,191 : 321,960 = 321,960 : x
  2. Step 2: Convert to fraction form
    197,191/321,960 = 321,960/x
  3. Step 3: Cross multiply
    197,191x = 321,960 × 321,960
  4. Step 4: Simplify right side
    197,191x = 103,658,241,600
  5. Step 5: Solve for x
    x = 103,658,241,600/197,191
  6. Step 6: Final answer
    x = 525,674.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.