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Finding the Third Proportional to 1,019 and 1,127

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Solution

The third proportional to 1,019 and 1,127 is: 1,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019 : 1,127 = 1,127 : x
  2. Step 2: Convert to fraction form
    1,019/1,127 = 1,127/x
  3. Step 3: Cross multiply
    1,019x = 1,127 × 1,127
  4. Step 4: Simplify right side
    1,019x = 1,270,129
  5. Step 5: Solve for x
    x = 1,270,129/1,019
  6. Step 6: Final answer
    x = 1,246.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.