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Finding the Third Proportional to 146,268 and 218,445

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Solution

The third proportional to 146,268 and 218,445 is: 326,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,268 : 218,445 = 218,445 : x
  2. Step 2: Convert to fraction form
    146,268/218,445 = 218,445/x
  3. Step 3: Cross multiply
    146,268x = 218,445 × 218,445
  4. Step 4: Simplify right side
    146,268x = 47,718,218,025
  5. Step 5: Solve for x
    x = 47,718,218,025/146,268
  6. Step 6: Final answer
    x = 326,238.26

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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.