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Finding the Third Proportional to 68,130 and 146,619

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Solution

The third proportional to 68,130 and 146,619 is: 315,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,130 : 146,619 = 146,619 : x
  2. Step 2: Convert to fraction form
    68,130/146,619 = 146,619/x
  3. Step 3: Cross multiply
    68,130x = 146,619 × 146,619
  4. Step 4: Simplify right side
    68,130x = 21,497,131,161
  5. Step 5: Solve for x
    x = 21,497,131,161/68,130
  6. Step 6: Final answer
    x = 315,531.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.