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Finding the Third Proportional to 1,290.66 and 2,849.91

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Solution

The third proportional to 1,290.66 and 2,849.91 is: 6,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.66 : 2,849.91 = 2,849.91 : x
  2. Step 2: Convert to fraction form
    1,290.66/2,849.91 = 2,849.91/x
  3. Step 3: Cross multiply
    1,290.66x = 2,849.91 × 2,849.91
  4. Step 4: Simplify right side
    1,290.66x = 8,121,965.63
  5. Step 5: Solve for x
    x = 8,121,965.63/1,290.66
  6. Step 6: Final answer
    x = 6,292.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.