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Finding the Third Proportional to 1,782 and 3,312

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Solution

The third proportional to 1,782 and 3,312 is: 6,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 3,312 = 3,312 : x
  2. Step 2: Convert to fraction form
    1,782/3,312 = 3,312/x
  3. Step 3: Cross multiply
    1,782x = 3,312 × 3,312
  4. Step 4: Simplify right side
    1,782x = 10,969,344
  5. Step 5: Solve for x
    x = 10,969,344/1,782
  6. Step 6: Final answer
    x = 6,155.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.