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Finding the Third Proportional to 1,702.27 and 3,718.41

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Solution

The third proportional to 1,702.27 and 3,718.41 is: 8,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.27 : 3,718.41 = 3,718.41 : x
  2. Step 2: Convert to fraction form
    1,702.27/3,718.41 = 3,718.41/x
  3. Step 3: Cross multiply
    1,702.27x = 3,718.41 × 3,718.41
  4. Step 4: Simplify right side
    1,702.27x = 13,826,545.04
  5. Step 5: Solve for x
    x = 13,826,545.04/1,702.27
  6. Step 6: Final answer
    x = 8,122.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.