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Finding the Third Proportional to 188,138 and 288,201

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Solution

The third proportional to 188,138 and 288,201 is: 441,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,138 : 288,201 = 288,201 : x
  2. Step 2: Convert to fraction form
    188,138/288,201 = 288,201/x
  3. Step 3: Cross multiply
    188,138x = 288,201 × 288,201
  4. Step 4: Simplify right side
    188,138x = 83,059,816,401
  5. Step 5: Solve for x
    x = 83,059,816,401/188,138
  6. Step 6: Final answer
    x = 441,483.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.