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Finding the Third Proportional to 135,135 and 211,986

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Solution

The third proportional to 135,135 and 211,986 is: 332,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,135 : 211,986 = 211,986 : x
  2. Step 2: Convert to fraction form
    135,135/211,986 = 211,986/x
  3. Step 3: Cross multiply
    135,135x = 211,986 × 211,986
  4. Step 4: Simplify right side
    135,135x = 44,938,064,196
  5. Step 5: Solve for x
    x = 44,938,064,196/135,135
  6. Step 6: Final answer
    x = 332,542.01

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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.