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Finding the Third Proportional to 6,378 and 13,780.88

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Solution

The third proportional to 6,378 and 13,780.88 is: 29,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378 : 13,780.88 = 13,780.88 : x
  2. Step 2: Convert to fraction form
    6,378/13,780.88 = 13,780.88/x
  3. Step 3: Cross multiply
    6,378x = 13,780.88 × 13,780.88
  4. Step 4: Simplify right side
    6,378x = 189,912,515.77
  5. Step 5: Solve for x
    x = 189,912,515.77/6,378
  6. Step 6: Final answer
    x = 29,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.