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Finding the Third Proportional to 201,310 and 276,878

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Solution

The third proportional to 201,310 and 276,878 is: 380,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310 : 276,878 = 276,878 : x
  2. Step 2: Convert to fraction form
    201,310/276,878 = 276,878/x
  3. Step 3: Cross multiply
    201,310x = 276,878 × 276,878
  4. Step 4: Simplify right side
    201,310x = 76,661,426,884
  5. Step 5: Solve for x
    x = 76,661,426,884/201,310
  6. Step 6: Final answer
    x = 380,812.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.