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Finding the Third Proportional to 20,209.50 and 28,878.75

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Solution

The third proportional to 20,209.50 and 28,878.75 is: 41,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.50 : 28,878.75 = 28,878.75 : x
  2. Step 2: Convert to fraction form
    20,209.50/28,878.75 = 28,878.75/x
  3. Step 3: Cross multiply
    20,209.50x = 28,878.75 × 28,878.75
  4. Step 4: Simplify right side
    20,209.50x = 833,982,201.56
  5. Step 5: Solve for x
    x = 833,982,201.56/20,209.50
  6. Step 6: Final answer
    x = 41,266.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.