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Finding the Third Proportional to 69,178 and 134,900

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Solution

The third proportional to 69,178 and 134,900 is: 263,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,178 : 134,900 = 134,900 : x
  2. Step 2: Convert to fraction form
    69,178/134,900 = 134,900/x
  3. Step 3: Cross multiply
    69,178x = 134,900 × 134,900
  4. Step 4: Simplify right side
    69,178x = 18,198,010,000
  5. Step 5: Solve for x
    x = 18,198,010,000/69,178
  6. Step 6: Final answer
    x = 263,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.