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Finding the Third Proportional to 28,206 and 65,919

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Solution

The third proportional to 28,206 and 65,919 is: 154,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206 : 65,919 = 65,919 : x
  2. Step 2: Convert to fraction form
    28,206/65,919 = 65,919/x
  3. Step 3: Cross multiply
    28,206x = 65,919 × 65,919
  4. Step 4: Simplify right side
    28,206x = 4,345,314,561
  5. Step 5: Solve for x
    x = 4,345,314,561/28,206
  6. Step 6: Final answer
    x = 154,056.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.