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Finding the Third Proportional to 20,218 and 28,951

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Solution

The third proportional to 20,218 and 28,951 is: 41,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218 : 28,951 = 28,951 : x
  2. Step 2: Convert to fraction form
    20,218/28,951 = 28,951/x
  3. Step 3: Cross multiply
    20,218x = 28,951 × 28,951
  4. Step 4: Simplify right side
    20,218x = 838,160,401
  5. Step 5: Solve for x
    x = 838,160,401/20,218
  6. Step 6: Final answer
    x = 41,456.15

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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.