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Finding the Third Proportional to 120,757.50 and 257,107.50

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Solution

The third proportional to 120,757.50 and 257,107.50 is: 547,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.50 : 257,107.50 = 257,107.50 : x
  2. Step 2: Convert to fraction form
    120,757.50/257,107.50 = 257,107.50/x
  3. Step 3: Cross multiply
    120,757.50x = 257,107.50 × 257,107.50
  4. Step 4: Simplify right side
    120,757.50x = 66,104,266,556.25
  5. Step 5: Solve for x
    x = 66,104,266,556.25/120,757.50
  6. Step 6: Final answer
    x = 547,413.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.