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Finding the Third Proportional to 1,050.33 and 1,660.78

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Solution

The third proportional to 1,050.33 and 1,660.78 is: 2,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.33 : 1,660.78 = 1,660.78 : x
  2. Step 2: Convert to fraction form
    1,050.33/1,660.78 = 1,660.78/x
  3. Step 3: Cross multiply
    1,050.33x = 1,660.78 × 1,660.78
  4. Step 4: Simplify right side
    1,050.33x = 2,758,194.36
  5. Step 5: Solve for x
    x = 2,758,194.36/1,050.33
  6. Step 6: Final answer
    x = 2,626.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.