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Finding the Third Proportional to 28,199 and 43,919

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Solution

The third proportional to 28,199 and 43,919 is: 68,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199 : 43,919 = 43,919 : x
  2. Step 2: Convert to fraction form
    28,199/43,919 = 43,919/x
  3. Step 3: Cross multiply
    28,199x = 43,919 × 43,919
  4. Step 4: Simplify right side
    28,199x = 1,928,878,561
  5. Step 5: Solve for x
    x = 1,928,878,561/28,199
  6. Step 6: Final answer
    x = 68,402.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.