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Finding the Third Proportional to 8,474.63 and 18,118.13

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Solution

The third proportional to 8,474.63 and 18,118.13 is: 38,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 18,118.13 = 18,118.13 : x
  2. Step 2: Convert to fraction form
    8,474.63/18,118.13 = 18,118.13/x
  3. Step 3: Cross multiply
    8,474.63x = 18,118.13 × 18,118.13
  4. Step 4: Simplify right side
    8,474.63x = 328,266,453.52
  5. Step 5: Solve for x
    x = 328,266,453.52/8,474.63
  6. Step 6: Final answer
    x = 38,735.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.