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Finding the Third Proportional to 197,316 and 419,229

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Solution

The third proportional to 197,316 and 419,229 is: 890,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,316 : 419,229 = 419,229 : x
  2. Step 2: Convert to fraction form
    197,316/419,229 = 419,229/x
  3. Step 3: Cross multiply
    197,316x = 419,229 × 419,229
  4. Step 4: Simplify right side
    197,316x = 175,752,954,441
  5. Step 5: Solve for x
    x = 175,752,954,441/197,316
  6. Step 6: Final answer
    x = 890,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.