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Finding the Third Proportional to 205,380 and 305,058

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Solution

The third proportional to 205,380 and 305,058 is: 453,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380 : 305,058 = 305,058 : x
  2. Step 2: Convert to fraction form
    205,380/305,058 = 305,058/x
  3. Step 3: Cross multiply
    205,380x = 305,058 × 305,058
  4. Step 4: Simplify right side
    205,380x = 93,060,383,364
  5. Step 5: Solve for x
    x = 93,060,383,364/205,380
  6. Step 6: Final answer
    x = 453,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.