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Finding the Third Proportional to 54,615 and 82,102.50

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Solution

The third proportional to 54,615 and 82,102.50 is: 123,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615 : 82,102.50 = 82,102.50 : x
  2. Step 2: Convert to fraction form
    54,615/82,102.50 = 82,102.50/x
  3. Step 3: Cross multiply
    54,615x = 82,102.50 × 82,102.50
  4. Step 4: Simplify right side
    54,615x = 6,740,820,506.25
  5. Step 5: Solve for x
    x = 6,740,820,506.25/54,615
  6. Step 6: Final answer
    x = 123,424.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.