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Finding the Third Proportional to 136,215 and 212,601

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Solution

The third proportional to 136,215 and 212,601 is: 331,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215 : 212,601 = 212,601 : x
  2. Step 2: Convert to fraction form
    136,215/212,601 = 212,601/x
  3. Step 3: Cross multiply
    136,215x = 212,601 × 212,601
  4. Step 4: Simplify right side
    136,215x = 45,199,185,201
  5. Step 5: Solve for x
    x = 45,199,185,201/136,215
  6. Step 6: Final answer
    x = 331,822.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.