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Finding the Third Proportional to 136,538 and 211,995

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Solution

The third proportional to 136,538 and 211,995 is: 329,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,538 : 211,995 = 211,995 : x
  2. Step 2: Convert to fraction form
    136,538/211,995 = 211,995/x
  3. Step 3: Cross multiply
    136,538x = 211,995 × 211,995
  4. Step 4: Simplify right side
    136,538x = 44,941,880,025
  5. Step 5: Solve for x
    x = 44,941,880,025/136,538
  6. Step 6: Final answer
    x = 329,152.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.