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Finding the Third Proportional to 212,364 and 320,186

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Solution

The third proportional to 212,364 and 320,186 is: 482,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364 : 320,186 = 320,186 : x
  2. Step 2: Convert to fraction form
    212,364/320,186 = 320,186/x
  3. Step 3: Cross multiply
    212,364x = 320,186 × 320,186
  4. Step 4: Simplify right side
    212,364x = 102,519,074,596
  5. Step 5: Solve for x
    x = 102,519,074,596/212,364
  6. Step 6: Final answer
    x = 482,751.67

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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.