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Finding the Third Proportional to 57,638.25 and 122,107.50

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Solution

The third proportional to 57,638.25 and 122,107.50 is: 258,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.25 : 122,107.50 = 122,107.50 : x
  2. Step 2: Convert to fraction form
    57,638.25/122,107.50 = 122,107.50/x
  3. Step 3: Cross multiply
    57,638.25x = 122,107.50 × 122,107.50
  4. Step 4: Simplify right side
    57,638.25x = 14,910,241,556.25
  5. Step 5: Solve for x
    x = 14,910,241,556.25/57,638.25
  6. Step 6: Final answer
    x = 258,686.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.