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Finding the Third Proportional to 20,169 and 28,363.50

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Solution

The third proportional to 20,169 and 28,363.50 is: 39,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 28,363.50 = 28,363.50 : x
  2. Step 2: Convert to fraction form
    20,169/28,363.50 = 28,363.50/x
  3. Step 3: Cross multiply
    20,169x = 28,363.50 × 28,363.50
  4. Step 4: Simplify right side
    20,169x = 804,488,132.25
  5. Step 5: Solve for x
    x = 804,488,132.25/20,169
  6. Step 6: Final answer
    x = 39,887.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.