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Finding the Third Proportional to 856.69 and 1,617.19

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Solution

The third proportional to 856.69 and 1,617.19 is: 3,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.69 : 1,617.19 = 1,617.19 : x
  2. Step 2: Convert to fraction form
    856.69/1,617.19 = 1,617.19/x
  3. Step 3: Cross multiply
    856.69x = 1,617.19 × 1,617.19
  4. Step 4: Simplify right side
    856.69x = 2,615,295.41
  5. Step 5: Solve for x
    x = 2,615,295.41/856.69
  6. Step 6: Final answer
    x = 3,052.80

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.