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Finding the Third Proportional to 10,908 and 20,447.44

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Solution

The third proportional to 10,908 and 20,447.44 is: 38,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 20,447.44 = 20,447.44 : x
  2. Step 2: Convert to fraction form
    10,908/20,447.44 = 20,447.44/x
  3. Step 3: Cross multiply
    10,908x = 20,447.44 × 20,447.44
  4. Step 4: Simplify right side
    10,908x = 418,097,700.32
  5. Step 5: Solve for x
    x = 418,097,700.32/10,908
  6. Step 6: Final answer
    x = 38,329.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.