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Finding the Third Proportional to 855.46 and 1,860.68

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Solution

The third proportional to 855.46 and 1,860.68 is: 4,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.46 : 1,860.68 = 1,860.68 : x
  2. Step 2: Convert to fraction form
    855.46/1,860.68 = 1,860.68/x
  3. Step 3: Cross multiply
    855.46x = 1,860.68 × 1,860.68
  4. Step 4: Simplify right side
    855.46x = 3,462,128.90
  5. Step 5: Solve for x
    x = 3,462,128.90/855.46
  6. Step 6: Final answer
    x = 4,047.11

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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.