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Finding the Third Proportional to 146,836 and 321,800

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Solution

The third proportional to 146,836 and 321,800 is: 705,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836 : 321,800 = 321,800 : x
  2. Step 2: Convert to fraction form
    146,836/321,800 = 321,800/x
  3. Step 3: Cross multiply
    146,836x = 321,800 × 321,800
  4. Step 4: Simplify right side
    146,836x = 103,555,240,000
  5. Step 5: Solve for x
    x = 103,555,240,000/146,836
  6. Step 6: Final answer
    x = 705,244.22

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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.