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Finding the Third Proportional to 15,257.25 and 21,458.25

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Solution

The third proportional to 15,257.25 and 21,458.25 is: 30,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.25 : 21,458.25 = 21,458.25 : x
  2. Step 2: Convert to fraction form
    15,257.25/21,458.25 = 21,458.25/x
  3. Step 3: Cross multiply
    15,257.25x = 21,458.25 × 21,458.25
  4. Step 4: Simplify right side
    15,257.25x = 460,456,493.06
  5. Step 5: Solve for x
    x = 460,456,493.06/15,257.25
  6. Step 6: Final answer
    x = 30,179.52

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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.