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Finding the Third Proportional to 6,848.72 and 9,280.83

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Solution

The third proportional to 6,848.72 and 9,280.83 is: 12,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.72 : 9,280.83 = 9,280.83 : x
  2. Step 2: Convert to fraction form
    6,848.72/9,280.83 = 9,280.83/x
  3. Step 3: Cross multiply
    6,848.72x = 9,280.83 × 9,280.83
  4. Step 4: Simplify right side
    6,848.72x = 86,133,770.69
  5. Step 5: Solve for x
    x = 86,133,770.69/6,848.72
  6. Step 6: Final answer
    x = 12,576.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.