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Finding the Third Proportional to 856.76 and 1,860.33

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Solution

The third proportional to 856.76 and 1,860.33 is: 4,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,860.33 = 1,860.33 : x
  2. Step 2: Convert to fraction form
    856.76/1,860.33 = 1,860.33/x
  3. Step 3: Cross multiply
    856.76x = 1,860.33 × 1,860.33
  4. Step 4: Simplify right side
    856.76x = 3,460,820.73
  5. Step 5: Solve for x
    x = 3,460,820.73/856.76
  6. Step 6: Final answer
    x = 4,039.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.