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Finding the Third Proportional to 288,138 and 436,185

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Solution

The third proportional to 288,138 and 436,185 is: 660,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,138 : 436,185 = 436,185 : x
  2. Step 2: Convert to fraction form
    288,138/436,185 = 436,185/x
  3. Step 3: Cross multiply
    288,138x = 436,185 × 436,185
  4. Step 4: Simplify right side
    288,138x = 190,257,354,225
  5. Step 5: Solve for x
    x = 190,257,354,225/288,138
  6. Step 6: Final answer
    x = 660,299.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.