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Finding the Third Proportional to 218,486 and 295,191

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Solution

The third proportional to 218,486 and 295,191 is: 398,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,486 : 295,191 = 295,191 : x
  2. Step 2: Convert to fraction form
    218,486/295,191 = 295,191/x
  3. Step 3: Cross multiply
    218,486x = 295,191 × 295,191
  4. Step 4: Simplify right side
    218,486x = 87,137,726,481
  5. Step 5: Solve for x
    x = 87,137,726,481/218,486
  6. Step 6: Final answer
    x = 398,825.22

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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.