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Finding the Third Proportional to 1,292.20 and 2,766.66

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Solution

The third proportional to 1,292.20 and 2,766.66 is: 5,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.20 : 2,766.66 = 2,766.66 : x
  2. Step 2: Convert to fraction form
    1,292.20/2,766.66 = 2,766.66/x
  3. Step 3: Cross multiply
    1,292.20x = 2,766.66 × 2,766.66
  4. Step 4: Simplify right side
    1,292.20x = 7,654,386.81
  5. Step 5: Solve for x
    x = 7,654,386.81/1,292.20
  6. Step 6: Final answer
    x = 5,923.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.