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Finding the Third Proportional to 321,864 and 486,936

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Solution

The third proportional to 321,864 and 486,936 is: 736,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,864 : 486,936 = 486,936 : x
  2. Step 2: Convert to fraction form
    321,864/486,936 = 486,936/x
  3. Step 3: Cross multiply
    321,864x = 486,936 × 486,936
  4. Step 4: Simplify right side
    321,864x = 237,106,668,096
  5. Step 5: Solve for x
    x = 237,106,668,096/321,864
  6. Step 6: Final answer
    x = 736,667.25

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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.