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Finding the Third Proportional to 6,780.98 and 10,366.89

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Solution

The third proportional to 6,780.98 and 10,366.89 is: 15,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.98 : 10,366.89 = 10,366.89 : x
  2. Step 2: Convert to fraction form
    6,780.98/10,366.89 = 10,366.89/x
  3. Step 3: Cross multiply
    6,780.98x = 10,366.89 × 10,366.89
  4. Step 4: Simplify right side
    6,780.98x = 107,472,461.73
  5. Step 5: Solve for x
    x = 107,472,461.73/6,780.98
  6. Step 6: Final answer
    x = 15,849.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.