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Finding the Third Proportional to 71,430 and 150,812

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Solution

The third proportional to 71,430 and 150,812 is: 318,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,430 : 150,812 = 150,812 : x
  2. Step 2: Convert to fraction form
    71,430/150,812 = 150,812/x
  3. Step 3: Cross multiply
    71,430x = 150,812 × 150,812
  4. Step 4: Simplify right side
    71,430x = 22,744,259,344
  5. Step 5: Solve for x
    x = 22,744,259,344/71,430
  6. Step 6: Final answer
    x = 318,413.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.