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Finding the Third Proportional to 12,989 and 28,165

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Solution

The third proportional to 12,989 and 28,165 is: 61,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989 : 28,165 = 28,165 : x
  2. Step 2: Convert to fraction form
    12,989/28,165 = 28,165/x
  3. Step 3: Cross multiply
    12,989x = 28,165 × 28,165
  4. Step 4: Simplify right side
    12,989x = 793,267,225
  5. Step 5: Solve for x
    x = 793,267,225/12,989
  6. Step 6: Final answer
    x = 61,072.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.