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Finding the Third Proportional to 1,266.26 and 1,886.20

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Solution

The third proportional to 1,266.26 and 1,886.20 is: 2,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.26 : 1,886.20 = 1,886.20 : x
  2. Step 2: Convert to fraction form
    1,266.26/1,886.20 = 1,886.20/x
  3. Step 3: Cross multiply
    1,266.26x = 1,886.20 × 1,886.20
  4. Step 4: Simplify right side
    1,266.26x = 3,557,762.23
  5. Step 5: Solve for x
    x = 3,557,762.23/1,266.26
  6. Step 6: Final answer
    x = 2,809.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.