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Finding the Third Proportional to 3,702.63 and 8,852.38

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Solution

The third proportional to 3,702.63 and 8,852.38 is: 21,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.63 : 8,852.38 = 8,852.38 : x
  2. Step 2: Convert to fraction form
    3,702.63/8,852.38 = 8,852.38/x
  3. Step 3: Cross multiply
    3,702.63x = 8,852.38 × 8,852.38
  4. Step 4: Simplify right side
    3,702.63x = 78,364,543.14
  5. Step 5: Solve for x
    x = 78,364,543.14/3,702.63
  6. Step 6: Final answer
    x = 21,164.59

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.