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Finding the Third Proportional to 15,858 and 20,855.25

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Solution

The third proportional to 15,858 and 20,855.25 is: 27,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 20,855.25 = 20,855.25 : x
  2. Step 2: Convert to fraction form
    15,858/20,855.25 = 20,855.25/x
  3. Step 3: Cross multiply
    15,858x = 20,855.25 × 20,855.25
  4. Step 4: Simplify right side
    15,858x = 434,941,452.56
  5. Step 5: Solve for x
    x = 434,941,452.56/15,858
  6. Step 6: Final answer
    x = 27,427.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.