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Finding the Third Proportional to 138,969 and 212,002

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Solution

The third proportional to 138,969 and 212,002 is: 323,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969 : 212,002 = 212,002 : x
  2. Step 2: Convert to fraction form
    138,969/212,002 = 212,002/x
  3. Step 3: Cross multiply
    138,969x = 212,002 × 212,002
  4. Step 4: Simplify right side
    138,969x = 44,944,848,004
  5. Step 5: Solve for x
    x = 44,944,848,004/138,969
  6. Step 6: Final answer
    x = 323,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.