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Finding the Third Proportional to 20,390 and 28,713

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Solution

The third proportional to 20,390 and 28,713 is: 40,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390 : 28,713 = 28,713 : x
  2. Step 2: Convert to fraction form
    20,390/28,713 = 28,713/x
  3. Step 3: Cross multiply
    20,390x = 28,713 × 28,713
  4. Step 4: Simplify right side
    20,390x = 824,436,369
  5. Step 5: Solve for x
    x = 824,436,369/20,390
  6. Step 6: Final answer
    x = 40,433.37

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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.