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Finding the Third Proportional to 855.36 and 1,340.71

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Solution

The third proportional to 855.36 and 1,340.71 is: 2,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.36 : 1,340.71 = 1,340.71 : x
  2. Step 2: Convert to fraction form
    855.36/1,340.71 = 1,340.71/x
  3. Step 3: Cross multiply
    855.36x = 1,340.71 × 1,340.71
  4. Step 4: Simplify right side
    855.36x = 1,797,509.09
  5. Step 5: Solve for x
    x = 1,797,509.09/855.36
  6. Step 6: Final answer
    x = 2,101.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.