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Finding the Third Proportional to 69,622 and 137,785

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Solution

The third proportional to 69,622 and 137,785 is: 272,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,622 : 137,785 = 137,785 : x
  2. Step 2: Convert to fraction form
    69,622/137,785 = 137,785/x
  3. Step 3: Cross multiply
    69,622x = 137,785 × 137,785
  4. Step 4: Simplify right side
    69,622x = 18,984,706,225
  5. Step 5: Solve for x
    x = 18,984,706,225/69,622
  6. Step 6: Final answer
    x = 272,682.57

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.