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Finding the Third Proportional to 8,439 and 20,154.75

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Solution

The third proportional to 8,439 and 20,154.75 is: 48,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 20,154.75 = 20,154.75 : x
  2. Step 2: Convert to fraction form
    8,439/20,154.75 = 20,154.75/x
  3. Step 3: Cross multiply
    8,439x = 20,154.75 × 20,154.75
  4. Step 4: Simplify right side
    8,439x = 406,213,947.56
  5. Step 5: Solve for x
    x = 406,213,947.56/8,439
  6. Step 6: Final answer
    x = 48,135.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.