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Finding the Third Proportional to 68,328 and 140,058

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Solution

The third proportional to 68,328 and 140,058 is: 287,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,328 : 140,058 = 140,058 : x
  2. Step 2: Convert to fraction form
    68,328/140,058 = 140,058/x
  3. Step 3: Cross multiply
    68,328x = 140,058 × 140,058
  4. Step 4: Simplify right side
    68,328x = 19,616,243,364
  5. Step 5: Solve for x
    x = 19,616,243,364/68,328
  6. Step 6: Final answer
    x = 287,089.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.