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Finding the Third Proportional to 69,717 and 153,102

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Solution

The third proportional to 69,717 and 153,102 is: 336,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,717 : 153,102 = 153,102 : x
  2. Step 2: Convert to fraction form
    69,717/153,102 = 153,102/x
  3. Step 3: Cross multiply
    69,717x = 153,102 × 153,102
  4. Step 4: Simplify right side
    69,717x = 23,440,222,404
  5. Step 5: Solve for x
    x = 23,440,222,404/69,717
  6. Step 6: Final answer
    x = 336,219.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.