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Finding the Third Proportional to 3,780 and 7,215.75

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Solution

The third proportional to 3,780 and 7,215.75 is: 13,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 7,215.75 = 7,215.75 : x
  2. Step 2: Convert to fraction form
    3,780/7,215.75 = 7,215.75/x
  3. Step 3: Cross multiply
    3,780x = 7,215.75 × 7,215.75
  4. Step 4: Simplify right side
    3,780x = 52,067,048.06
  5. Step 5: Solve for x
    x = 52,067,048.06/3,780
  6. Step 6: Final answer
    x = 13,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.