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Finding the Third Proportional to 4,802.25 and 11,123.25

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Solution

The third proportional to 4,802.25 and 11,123.25 is: 25,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.25 : 11,123.25 = 11,123.25 : x
  2. Step 2: Convert to fraction form
    4,802.25/11,123.25 = 11,123.25/x
  3. Step 3: Cross multiply
    4,802.25x = 11,123.25 × 11,123.25
  4. Step 4: Simplify right side
    4,802.25x = 123,726,690.56
  5. Step 5: Solve for x
    x = 123,726,690.56/4,802.25
  6. Step 6: Final answer
    x = 25,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.