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Finding the Third Proportional to 28,398 and 39,819

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Solution

The third proportional to 28,398 and 39,819 is: 55,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,398 : 39,819 = 39,819 : x
  2. Step 2: Convert to fraction form
    28,398/39,819 = 39,819/x
  3. Step 3: Cross multiply
    28,398x = 39,819 × 39,819
  4. Step 4: Simplify right side
    28,398x = 1,585,552,761
  5. Step 5: Solve for x
    x = 1,585,552,761/28,398
  6. Step 6: Final answer
    x = 55,833.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.