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Finding the Third Proportional to 18,570 and 28,013

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Solution

The third proportional to 18,570 and 28,013 is: 42,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570 : 28,013 = 28,013 : x
  2. Step 2: Convert to fraction form
    18,570/28,013 = 28,013/x
  3. Step 3: Cross multiply
    18,570x = 28,013 × 28,013
  4. Step 4: Simplify right side
    18,570x = 784,728,169
  5. Step 5: Solve for x
    x = 784,728,169/18,570
  6. Step 6: Final answer
    x = 42,257.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.