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Finding the Third Proportional to 69,675 and 153,223

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Solution

The third proportional to 69,675 and 153,223 is: 336,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,675 : 153,223 = 153,223 : x
  2. Step 2: Convert to fraction form
    69,675/153,223 = 153,223/x
  3. Step 3: Cross multiply
    69,675x = 153,223 × 153,223
  4. Step 4: Simplify right side
    69,675x = 23,477,287,729
  5. Step 5: Solve for x
    x = 23,477,287,729/69,675
  6. Step 6: Final answer
    x = 336,954.26

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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.