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Finding the Third Proportional to 1,210.57 and 1,863.21

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Solution

The third proportional to 1,210.57 and 1,863.21 is: 2,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.57 : 1,863.21 = 1,863.21 : x
  2. Step 2: Convert to fraction form
    1,210.57/1,863.21 = 1,863.21/x
  3. Step 3: Cross multiply
    1,210.57x = 1,863.21 × 1,863.21
  4. Step 4: Simplify right side
    1,210.57x = 3,471,555.00
  5. Step 5: Solve for x
    x = 3,471,555.00/1,210.57
  6. Step 6: Final answer
    x = 2,867.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.