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Finding the Third Proportional to 134,612 and 211,196

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Solution

The third proportional to 134,612 and 211,196 is: 331,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,612 : 211,196 = 211,196 : x
  2. Step 2: Convert to fraction form
    134,612/211,196 = 211,196/x
  3. Step 3: Cross multiply
    134,612x = 211,196 × 211,196
  4. Step 4: Simplify right side
    134,612x = 44,603,750,416
  5. Step 5: Solve for x
    x = 44,603,750,416/134,612
  6. Step 6: Final answer
    x = 331,350.48

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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.