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Finding the Third Proportional to 286,938 and 421,191

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Solution

The third proportional to 286,938 and 421,191 is: 618,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,938 : 421,191 = 421,191 : x
  2. Step 2: Convert to fraction form
    286,938/421,191 = 421,191/x
  3. Step 3: Cross multiply
    286,938x = 421,191 × 421,191
  4. Step 4: Simplify right side
    286,938x = 177,401,858,481
  5. Step 5: Solve for x
    x = 177,401,858,481/286,938
  6. Step 6: Final answer
    x = 618,258.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.