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Finding the Third Proportional to 8,702.44 and 18,790.31

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Solution

The third proportional to 8,702.44 and 18,790.31 is: 40,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.44 : 18,790.31 = 18,790.31 : x
  2. Step 2: Convert to fraction form
    8,702.44/18,790.31 = 18,790.31/x
  3. Step 3: Cross multiply
    8,702.44x = 18,790.31 × 18,790.31
  4. Step 4: Simplify right side
    8,702.44x = 353,075,843.85
  5. Step 5: Solve for x
    x = 353,075,843.85/8,702.44
  6. Step 6: Final answer
    x = 40,572.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.