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Finding the Third Proportional to 188,160 and 276,219

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Solution

The third proportional to 188,160 and 276,219 is: 405,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,160 : 276,219 = 276,219 : x
  2. Step 2: Convert to fraction form
    188,160/276,219 = 276,219/x
  3. Step 3: Cross multiply
    188,160x = 276,219 × 276,219
  4. Step 4: Simplify right side
    188,160x = 76,296,935,961
  5. Step 5: Solve for x
    x = 76,296,935,961/188,160
  6. Step 6: Final answer
    x = 405,489.67

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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.