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Finding the Third Proportional to 12,939 and 17,257.50

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Solution

The third proportional to 12,939 and 17,257.50 is: 23,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939 : 17,257.50 = 17,257.50 : x
  2. Step 2: Convert to fraction form
    12,939/17,257.50 = 17,257.50/x
  3. Step 3: Cross multiply
    12,939x = 17,257.50 × 17,257.50
  4. Step 4: Simplify right side
    12,939x = 297,821,306.25
  5. Step 5: Solve for x
    x = 297,821,306.25/12,939
  6. Step 6: Final answer
    x = 23,017.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.