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Finding the Third Proportional to 7,656.75 and 11,280.38

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Solution

The third proportional to 7,656.75 and 11,280.38 is: 16,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.75 : 11,280.38 = 11,280.38 : x
  2. Step 2: Convert to fraction form
    7,656.75/11,280.38 = 11,280.38/x
  3. Step 3: Cross multiply
    7,656.75x = 11,280.38 × 11,280.38
  4. Step 4: Simplify right side
    7,656.75x = 127,246,860.14
  5. Step 5: Solve for x
    x = 127,246,860.14/7,656.75
  6. Step 6: Final answer
    x = 16,618.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.