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Finding the Third Proportional to 20,012 and 28,984.50

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Solution

The third proportional to 20,012 and 28,984.50 is: 41,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012 : 28,984.50 = 28,984.50 : x
  2. Step 2: Convert to fraction form
    20,012/28,984.50 = 28,984.50/x
  3. Step 3: Cross multiply
    20,012x = 28,984.50 × 28,984.50
  4. Step 4: Simplify right side
    20,012x = 840,101,240.25
  5. Step 5: Solve for x
    x = 840,101,240.25/20,012
  6. Step 6: Final answer
    x = 41,979.87

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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.