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Finding the Third Proportional to 12,570.75 and 20,697.75

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Solution

The third proportional to 12,570.75 and 20,697.75 is: 34,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.75 : 20,697.75 = 20,697.75 : x
  2. Step 2: Convert to fraction form
    12,570.75/20,697.75 = 20,697.75/x
  3. Step 3: Cross multiply
    12,570.75x = 20,697.75 × 20,697.75
  4. Step 4: Simplify right side
    12,570.75x = 428,396,855.06
  5. Step 5: Solve for x
    x = 428,396,855.06/12,570.75
  6. Step 6: Final answer
    x = 34,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.