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Finding the Third Proportional to 5,665.80 and 7,964.60

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Solution

The third proportional to 5,665.80 and 7,964.60 is: 11,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.80 : 7,964.60 = 7,964.60 : x
  2. Step 2: Convert to fraction form
    5,665.80/7,964.60 = 7,964.60/x
  3. Step 3: Cross multiply
    5,665.80x = 7,964.60 × 7,964.60
  4. Step 4: Simplify right side
    5,665.80x = 63,434,878.05
  5. Step 5: Solve for x
    x = 63,434,878.05/5,665.80
  6. Step 6: Final answer
    x = 11,196.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.