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Finding the Third Proportional to 211,906 and 320,019

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Solution

The third proportional to 211,906 and 320,019 is: 483,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,906 : 320,019 = 320,019 : x
  2. Step 2: Convert to fraction form
    211,906/320,019 = 320,019/x
  3. Step 3: Cross multiply
    211,906x = 320,019 × 320,019
  4. Step 4: Simplify right side
    211,906x = 102,412,160,361
  5. Step 5: Solve for x
    x = 102,412,160,361/211,906
  6. Step 6: Final answer
    x = 483,290.52

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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.