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Finding the Third Proportional to 218,340 and 333,340

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Solution

The third proportional to 218,340 and 333,340 is: 508,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,340 : 333,340 = 333,340 : x
  2. Step 2: Convert to fraction form
    218,340/333,340 = 333,340/x
  3. Step 3: Cross multiply
    218,340x = 333,340 × 333,340
  4. Step 4: Simplify right side
    218,340x = 111,115,555,600
  5. Step 5: Solve for x
    x = 111,115,555,600/218,340
  6. Step 6: Final answer
    x = 508,910.67

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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.