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Finding the Third Proportional to 1,292.06 and 2,818.69

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Solution

The third proportional to 1,292.06 and 2,818.69 is: 6,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.06 : 2,818.69 = 2,818.69 : x
  2. Step 2: Convert to fraction form
    1,292.06/2,818.69 = 2,818.69/x
  3. Step 3: Cross multiply
    1,292.06x = 2,818.69 × 2,818.69
  4. Step 4: Simplify right side
    1,292.06x = 7,944,999.22
  5. Step 5: Solve for x
    x = 7,944,999.22/1,292.06
  6. Step 6: Final answer
    x = 6,149.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.