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Finding the Third Proportional to 10,773 and 23,625

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Solution

The third proportional to 10,773 and 23,625 is: 51,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773 : 23,625 = 23,625 : x
  2. Step 2: Convert to fraction form
    10,773/23,625 = 23,625/x
  3. Step 3: Cross multiply
    10,773x = 23,625 × 23,625
  4. Step 4: Simplify right side
    10,773x = 558,140,625
  5. Step 5: Solve for x
    x = 558,140,625/10,773
  6. Step 6: Final answer
    x = 51,809.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.