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Finding the Third Proportional to 8,553.94 and 12,170.25

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Solution

The third proportional to 8,553.94 and 12,170.25 is: 17,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.94 : 12,170.25 = 12,170.25 : x
  2. Step 2: Convert to fraction form
    8,553.94/12,170.25 = 12,170.25/x
  3. Step 3: Cross multiply
    8,553.94x = 12,170.25 × 12,170.25
  4. Step 4: Simplify right side
    8,553.94x = 148,114,985.06
  5. Step 5: Solve for x
    x = 148,114,985.06/8,553.94
  6. Step 6: Final answer
    x = 17,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.