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Finding the Third Proportional to 10,254 and 13,773

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Solution

The third proportional to 10,254 and 13,773 is: 18,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 13,773 = 13,773 : x
  2. Step 2: Convert to fraction form
    10,254/13,773 = 13,773/x
  3. Step 3: Cross multiply
    10,254x = 13,773 × 13,773
  4. Step 4: Simplify right side
    10,254x = 189,695,529
  5. Step 5: Solve for x
    x = 189,695,529/10,254
  6. Step 6: Final answer
    x = 18,499.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.