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Finding the Third Proportional to 10,975 and 23,773

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Solution

The third proportional to 10,975 and 23,773 is: 51,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 23,773 = 23,773 : x
  2. Step 2: Convert to fraction form
    10,975/23,773 = 23,773/x
  3. Step 3: Cross multiply
    10,975x = 23,773 × 23,773
  4. Step 4: Simplify right side
    10,975x = 565,155,529
  5. Step 5: Solve for x
    x = 565,155,529/10,975
  6. Step 6: Final answer
    x = 51,494.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.