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Finding the Third Proportional to 207,912 and 321,804

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Solution

The third proportional to 207,912 and 321,804 is: 498,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,912 : 321,804 = 321,804 : x
  2. Step 2: Convert to fraction form
    207,912/321,804 = 321,804/x
  3. Step 3: Cross multiply
    207,912x = 321,804 × 321,804
  4. Step 4: Simplify right side
    207,912x = 103,557,814,416
  5. Step 5: Solve for x
    x = 103,557,814,416/207,912
  6. Step 6: Final answer
    x = 498,084.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.