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Finding the Third Proportional to 18,270 and 28,022.63

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Solution

The third proportional to 18,270 and 28,022.63 is: 42,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 28,022.63 = 28,022.63 : x
  2. Step 2: Convert to fraction form
    18,270/28,022.63 = 28,022.63/x
  3. Step 3: Cross multiply
    18,270x = 28,022.63 × 28,022.63
  4. Step 4: Simplify right side
    18,270x = 785,267,511.89
  5. Step 5: Solve for x
    x = 785,267,511.89/18,270
  6. Step 6: Final answer
    x = 42,981.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.