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Finding the Third Proportional to 68,146 and 146,660

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Solution

The third proportional to 68,146 and 146,660 is: 315,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,146 : 146,660 = 146,660 : x
  2. Step 2: Convert to fraction form
    68,146/146,660 = 146,660/x
  3. Step 3: Cross multiply
    68,146x = 146,660 × 146,660
  4. Step 4: Simplify right side
    68,146x = 21,509,155,600
  5. Step 5: Solve for x
    x = 21,509,155,600/68,146
  6. Step 6: Final answer
    x = 315,633.43

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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.