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Finding the Third Proportional to 30,021 and 40,278

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Solution

The third proportional to 30,021 and 40,278 is: 54,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021 : 40,278 = 40,278 : x
  2. Step 2: Convert to fraction form
    30,021/40,278 = 40,278/x
  3. Step 3: Cross multiply
    30,021x = 40,278 × 40,278
  4. Step 4: Simplify right side
    30,021x = 1,622,317,284
  5. Step 5: Solve for x
    x = 1,622,317,284/30,021
  6. Step 6: Final answer
    x = 54,039.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.