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Finding the Third Proportional to 201,308 and 276,875

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Solution

The third proportional to 201,308 and 276,875 is: 380,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308 : 276,875 = 276,875 : x
  2. Step 2: Convert to fraction form
    201,308/276,875 = 276,875/x
  3. Step 3: Cross multiply
    201,308x = 276,875 × 276,875
  4. Step 4: Simplify right side
    201,308x = 76,659,765,625
  5. Step 5: Solve for x
    x = 76,659,765,625/201,308
  6. Step 6: Final answer
    x = 380,808.34

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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.