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Finding the Third Proportional to 7,941 and 12,570.75

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Solution

The third proportional to 7,941 and 12,570.75 is: 19,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 12,570.75 = 12,570.75 : x
  2. Step 2: Convert to fraction form
    7,941/12,570.75 = 12,570.75/x
  3. Step 3: Cross multiply
    7,941x = 12,570.75 × 12,570.75
  4. Step 4: Simplify right side
    7,941x = 158,023,755.56
  5. Step 5: Solve for x
    x = 158,023,755.56/7,941
  6. Step 6: Final answer
    x = 19,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.