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Finding the Third Proportional to 135,199 and 212,078

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Solution

The third proportional to 135,199 and 212,078 is: 332,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199 : 212,078 = 212,078 : x
  2. Step 2: Convert to fraction form
    135,199/212,078 = 212,078/x
  3. Step 3: Cross multiply
    135,199x = 212,078 × 212,078
  4. Step 4: Simplify right side
    135,199x = 44,977,078,084
  5. Step 5: Solve for x
    x = 44,977,078,084/135,199
  6. Step 6: Final answer
    x = 332,673.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.