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Finding the Third Proportional to 212,286 and 313,569

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Solution

The third proportional to 212,286 and 313,569 is: 463,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,286 : 313,569 = 313,569 : x
  2. Step 2: Convert to fraction form
    212,286/313,569 = 313,569/x
  3. Step 3: Cross multiply
    212,286x = 313,569 × 313,569
  4. Step 4: Simplify right side
    212,286x = 98,325,517,761
  5. Step 5: Solve for x
    x = 98,325,517,761/212,286
  6. Step 6: Final answer
    x = 463,174.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.