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Finding the Third Proportional to 1,197.81 and 2,585.57

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Solution

The third proportional to 1,197.81 and 2,585.57 is: 5,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.81 : 2,585.57 = 2,585.57 : x
  2. Step 2: Convert to fraction form
    1,197.81/2,585.57 = 2,585.57/x
  3. Step 3: Cross multiply
    1,197.81x = 2,585.57 × 2,585.57
  4. Step 4: Simplify right side
    1,197.81x = 6,685,153.64
  5. Step 5: Solve for x
    x = 6,685,153.64/1,197.81
  6. Step 6: Final answer
    x = 5,581.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.