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Finding the Third Proportional to 1,782 and 1,946.25

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Solution

The third proportional to 1,782 and 1,946.25 is: 2,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 1,946.25 = 1,946.25 : x
  2. Step 2: Convert to fraction form
    1,782/1,946.25 = 1,946.25/x
  3. Step 3: Cross multiply
    1,782x = 1,946.25 × 1,946.25
  4. Step 4: Simplify right side
    1,782x = 3,787,889.06
  5. Step 5: Solve for x
    x = 3,787,889.06/1,782
  6. Step 6: Final answer
    x = 2,125.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.