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Finding the Third Proportional to 12,623 and 28,631

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Solution

The third proportional to 12,623 and 28,631 is: 64,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623 : 28,631 = 28,631 : x
  2. Step 2: Convert to fraction form
    12,623/28,631 = 28,631/x
  3. Step 3: Cross multiply
    12,623x = 28,631 × 28,631
  4. Step 4: Simplify right side
    12,623x = 819,734,161
  5. Step 5: Solve for x
    x = 819,734,161/12,623
  6. Step 6: Final answer
    x = 64,939.73

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.