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Finding the Third Proportional to 69,638 and 153,100

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Solution

The third proportional to 69,638 and 153,100 is: 336,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,638 : 153,100 = 153,100 : x
  2. Step 2: Convert to fraction form
    69,638/153,100 = 153,100/x
  3. Step 3: Cross multiply
    69,638x = 153,100 × 153,100
  4. Step 4: Simplify right side
    69,638x = 23,439,610,000
  5. Step 5: Solve for x
    x = 23,439,610,000/69,638
  6. Step 6: Final answer
    x = 336,592.23

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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.