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Finding the Third Proportional to 146,078 and 310,990

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Solution

The third proportional to 146,078 and 310,990 is: 662,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,078 : 310,990 = 310,990 : x
  2. Step 2: Convert to fraction form
    146,078/310,990 = 310,990/x
  3. Step 3: Cross multiply
    146,078x = 310,990 × 310,990
  4. Step 4: Simplify right side
    146,078x = 96,714,780,100
  5. Step 5: Solve for x
    x = 96,714,780,100/146,078
  6. Step 6: Final answer
    x = 662,076.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.