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Finding the Third Proportional to 15,723 and 21,993.75

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Solution

The third proportional to 15,723 and 21,993.75 is: 30,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 21,993.75 = 21,993.75 : x
  2. Step 2: Convert to fraction form
    15,723/21,993.75 = 21,993.75/x
  3. Step 3: Cross multiply
    15,723x = 21,993.75 × 21,993.75
  4. Step 4: Simplify right side
    15,723x = 483,725,039.06
  5. Step 5: Solve for x
    x = 483,725,039.06/15,723
  6. Step 6: Final answer
    x = 30,765.44

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1.5x scale

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.