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Finding the Third Proportional to 8,989 and 14,129

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Solution

The third proportional to 8,989 and 14,129 is: 22,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989 : 14,129 = 14,129 : x
  2. Step 2: Convert to fraction form
    8,989/14,129 = 14,129/x
  3. Step 3: Cross multiply
    8,989x = 14,129 × 14,129
  4. Step 4: Simplify right side
    8,989x = 199,628,641
  5. Step 5: Solve for x
    x = 199,628,641/8,989
  6. Step 6: Final answer
    x = 22,208.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.