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Finding the Third Proportional to 212,290 and 321,173

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Solution

The third proportional to 212,290 and 321,173 is: 485,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,290 : 321,173 = 321,173 : x
  2. Step 2: Convert to fraction form
    212,290/321,173 = 321,173/x
  3. Step 3: Cross multiply
    212,290x = 321,173 × 321,173
  4. Step 4: Simplify right side
    212,290x = 103,152,095,929
  5. Step 5: Solve for x
    x = 103,152,095,929/212,290
  6. Step 6: Final answer
    x = 485,901.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.