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Finding the Third Proportional to 69,920 and 153,904

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Solution

The third proportional to 69,920 and 153,904 is: 338,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,920 : 153,904 = 153,904 : x
  2. Step 2: Convert to fraction form
    69,920/153,904 = 153,904/x
  3. Step 3: Cross multiply
    69,920x = 153,904 × 153,904
  4. Step 4: Simplify right side
    69,920x = 23,686,441,216
  5. Step 5: Solve for x
    x = 23,686,441,216/69,920
  6. Step 6: Final answer
    x = 338,764.89

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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.