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Finding the Third Proportional to 218,488 and 295,194

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Solution

The third proportional to 218,488 and 295,194 is: 398,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,488 : 295,194 = 295,194 : x
  2. Step 2: Convert to fraction form
    218,488/295,194 = 295,194/x
  3. Step 3: Cross multiply
    218,488x = 295,194 × 295,194
  4. Step 4: Simplify right side
    218,488x = 87,139,497,636
  5. Step 5: Solve for x
    x = 87,139,497,636/218,488
  6. Step 6: Final answer
    x = 398,829.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.