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Finding the Third Proportional to 10,080 and 20,949.75

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Solution

The third proportional to 10,080 and 20,949.75 is: 43,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 20,949.75 = 20,949.75 : x
  2. Step 2: Convert to fraction form
    10,080/20,949.75 = 20,949.75/x
  3. Step 3: Cross multiply
    10,080x = 20,949.75 × 20,949.75
  4. Step 4: Simplify right side
    10,080x = 438,892,025.06
  5. Step 5: Solve for x
    x = 438,892,025.06/10,080
  6. Step 6: Final answer
    x = 43,540.88

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.