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Finding the Third Proportional to 153,920 and 206,848

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Solution

The third proportional to 153,920 and 206,848 is: 277,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920 : 206,848 = 206,848 : x
  2. Step 2: Convert to fraction form
    153,920/206,848 = 206,848/x
  3. Step 3: Cross multiply
    153,920x = 206,848 × 206,848
  4. Step 4: Simplify right side
    153,920x = 42,786,095,104
  5. Step 5: Solve for x
    x = 42,786,095,104/153,920
  6. Step 6: Final answer
    x = 277,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.