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Finding the Third Proportional to 21,149 and 30,723.75

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Solution

The third proportional to 21,149 and 30,723.75 is: 44,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149 : 30,723.75 = 30,723.75 : x
  2. Step 2: Convert to fraction form
    21,149/30,723.75 = 30,723.75/x
  3. Step 3: Cross multiply
    21,149x = 30,723.75 × 30,723.75
  4. Step 4: Simplify right side
    21,149x = 943,948,814.06
  5. Step 5: Solve for x
    x = 943,948,814.06/21,149
  6. Step 6: Final answer
    x = 44,633.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.