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Finding the Third Proportional to 213,138 and 318,242

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Solution

The third proportional to 213,138 and 318,242 is: 475,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138 : 318,242 = 318,242 : x
  2. Step 2: Convert to fraction form
    213,138/318,242 = 318,242/x
  3. Step 3: Cross multiply
    213,138x = 318,242 × 318,242
  4. Step 4: Simplify right side
    213,138x = 101,277,970,564
  5. Step 5: Solve for x
    x = 101,277,970,564/213,138
  6. Step 6: Final answer
    x = 475,175.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.