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Finding the Third Proportional to 28,072 and 61,676

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Solution

The third proportional to 28,072 and 61,676 is: 135,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,072 : 61,676 = 61,676 : x
  2. Step 2: Convert to fraction form
    28,072/61,676 = 61,676/x
  3. Step 3: Cross multiply
    28,072x = 61,676 × 61,676
  4. Step 4: Simplify right side
    28,072x = 3,803,928,976
  5. Step 5: Solve for x
    x = 3,803,928,976/28,072
  6. Step 6: Final answer
    x = 135,506.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.