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Finding the Third Proportional to 212,002 and 286,899

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Solution

The third proportional to 212,002 and 286,899 is: 388,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002 : 286,899 = 286,899 : x
  2. Step 2: Convert to fraction form
    212,002/286,899 = 286,899/x
  3. Step 3: Cross multiply
    212,002x = 286,899 × 286,899
  4. Step 4: Simplify right side
    212,002x = 82,311,036,201
  5. Step 5: Solve for x
    x = 82,311,036,201/212,002
  6. Step 6: Final answer
    x = 388,255.94

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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.