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Finding the Third Proportional to 1,856.78 and 2,785.54

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Solution

The third proportional to 1,856.78 and 2,785.54 is: 4,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.78 : 2,785.54 = 2,785.54 : x
  2. Step 2: Convert to fraction form
    1,856.78/2,785.54 = 2,785.54/x
  3. Step 3: Cross multiply
    1,856.78x = 2,785.54 × 2,785.54
  4. Step 4: Simplify right side
    1,856.78x = 7,759,206.11
  5. Step 5: Solve for x
    x = 7,759,206.11/1,856.78
  6. Step 6: Final answer
    x = 4,178.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.