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Finding the Third Proportional to 197,199 and 321,972

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Solution

The third proportional to 197,199 and 321,972 is: 525,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199 : 321,972 = 321,972 : x
  2. Step 2: Convert to fraction form
    197,199/321,972 = 321,972/x
  3. Step 3: Cross multiply
    197,199x = 321,972 × 321,972
  4. Step 4: Simplify right side
    197,199x = 103,665,968,784
  5. Step 5: Solve for x
    x = 103,665,968,784/197,199
  6. Step 6: Final answer
    x = 525,692.16

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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.