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Finding the Third Proportional to 138,433 and 212,219

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Solution

The third proportional to 138,433 and 212,219 is: 325,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433 : 212,219 = 212,219 : x
  2. Step 2: Convert to fraction form
    138,433/212,219 = 212,219/x
  3. Step 3: Cross multiply
    138,433x = 212,219 × 212,219
  4. Step 4: Simplify right side
    138,433x = 45,036,903,961
  5. Step 5: Solve for x
    x = 45,036,903,961/138,433
  6. Step 6: Final answer
    x = 325,333.58

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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.