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Finding the Third Proportional to 15,205.50 and 21,273.75

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Solution

The third proportional to 15,205.50 and 21,273.75 is: 29,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.50 : 21,273.75 = 21,273.75 : x
  2. Step 2: Convert to fraction form
    15,205.50/21,273.75 = 21,273.75/x
  3. Step 3: Cross multiply
    15,205.50x = 21,273.75 × 21,273.75
  4. Step 4: Simplify right side
    15,205.50x = 452,572,439.06
  5. Step 5: Solve for x
    x = 452,572,439.06/15,205.50
  6. Step 6: Final answer
    x = 29,763.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.