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Finding the Third Proportional to 146,977.03 and 321,990.19

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Solution

The third proportional to 146,977.03 and 321,990.19 is: 705,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977.03 : 321,990.19 = 321,990.19 : x
  2. Step 2: Convert to fraction form
    146,977.03/321,990.19 = 321,990.19/x
  3. Step 3: Cross multiply
    146,977.03x = 321,990.19 × 321,990.19
  4. Step 4: Simplify right side
    146,977.03x = 103,677,680,846.29
  5. Step 5: Solve for x
    x = 103,677,680,846.29/146,977.03
  6. Step 6: Final answer
    x = 705,400.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.