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Finding the Third Proportional to 18,142 and 28,022

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Solution

The third proportional to 18,142 and 28,022 is: 43,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 28,022 = 28,022 : x
  2. Step 2: Convert to fraction form
    18,142/28,022 = 28,022/x
  3. Step 3: Cross multiply
    18,142x = 28,022 × 28,022
  4. Step 4: Simplify right side
    18,142x = 785,232,484
  5. Step 5: Solve for x
    x = 785,232,484/18,142
  6. Step 6: Final answer
    x = 43,282.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.