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Finding the Third Proportional to 18,132 and 28,018

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Solution

The third proportional to 18,132 and 28,018 is: 43,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132 : 28,018 = 28,018 : x
  2. Step 2: Convert to fraction form
    18,132/28,018 = 28,018/x
  3. Step 3: Cross multiply
    18,132x = 28,018 × 28,018
  4. Step 4: Simplify right side
    18,132x = 785,008,324
  5. Step 5: Solve for x
    x = 785,008,324/18,132
  6. Step 6: Final answer
    x = 43,294.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.