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Finding the Third Proportional to 1,101 and 1,269.75

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Solution

The third proportional to 1,101 and 1,269.75 is: 1,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101 : 1,269.75 = 1,269.75 : x
  2. Step 2: Convert to fraction form
    1,101/1,269.75 = 1,269.75/x
  3. Step 3: Cross multiply
    1,101x = 1,269.75 × 1,269.75
  4. Step 4: Simplify right side
    1,101x = 1,612,265.06
  5. Step 5: Solve for x
    x = 1,612,265.06/1,101
  6. Step 6: Final answer
    x = 1,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.