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Finding the Third Proportional to 5,521.50 and 7,979.63

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Solution

The third proportional to 5,521.50 and 7,979.63 is: 11,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.50 : 7,979.63 = 7,979.63 : x
  2. Step 2: Convert to fraction form
    5,521.50/7,979.63 = 7,979.63/x
  3. Step 3: Cross multiply
    5,521.50x = 7,979.63 × 7,979.63
  4. Step 4: Simplify right side
    5,521.50x = 63,674,415.14
  5. Step 5: Solve for x
    x = 63,674,415.14/5,521.50
  6. Step 6: Final answer
    x = 11,532.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.