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Finding the Third Proportional to 139,570 and 199,351

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Solution

The third proportional to 139,570 and 199,351 is: 284,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,570 : 199,351 = 199,351 : x
  2. Step 2: Convert to fraction form
    139,570/199,351 = 199,351/x
  3. Step 3: Cross multiply
    139,570x = 199,351 × 199,351
  4. Step 4: Simplify right side
    139,570x = 39,740,821,201
  5. Step 5: Solve for x
    x = 39,740,821,201/139,570
  6. Step 6: Final answer
    x = 284,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.