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Finding the Third Proportional to 1,138 and 1,254

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Solution

The third proportional to 1,138 and 1,254 is: 1,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138 : 1,254 = 1,254 : x
  2. Step 2: Convert to fraction form
    1,138/1,254 = 1,254/x
  3. Step 3: Cross multiply
    1,138x = 1,254 × 1,254
  4. Step 4: Simplify right side
    1,138x = 1,572,516
  5. Step 5: Solve for x
    x = 1,572,516/1,138
  6. Step 6: Final answer
    x = 1,381.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.