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Finding the Third Proportional to 856.83 and 1,335.23

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Solution

The third proportional to 856.83 and 1,335.23 is: 2,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,335.23 = 1,335.23 : x
  2. Step 2: Convert to fraction form
    856.83/1,335.23 = 1,335.23/x
  3. Step 3: Cross multiply
    856.83x = 1,335.23 × 1,335.23
  4. Step 4: Simplify right side
    856.83x = 1,782,850.84
  5. Step 5: Solve for x
    x = 1,782,850.84/856.83
  6. Step 6: Final answer
    x = 2,080.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.