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Finding the Third Proportional to 208,362 and 321,189

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Solution

The third proportional to 208,362 and 321,189 is: 495,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362 : 321,189 = 321,189 : x
  2. Step 2: Convert to fraction form
    208,362/321,189 = 321,189/x
  3. Step 3: Cross multiply
    208,362x = 321,189 × 321,189
  4. Step 4: Simplify right side
    208,362x = 103,162,373,721
  5. Step 5: Solve for x
    x = 103,162,373,721/208,362
  6. Step 6: Final answer
    x = 495,111.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.