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Finding the Third Proportional to 18,620 and 37,780

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Solution

The third proportional to 18,620 and 37,780 is: 76,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,620 : 37,780 = 37,780 : x
  2. Step 2: Convert to fraction form
    18,620/37,780 = 37,780/x
  3. Step 3: Cross multiply
    18,620x = 37,780 × 37,780
  4. Step 4: Simplify right side
    18,620x = 1,427,328,400
  5. Step 5: Solve for x
    x = 1,427,328,400/18,620
  6. Step 6: Final answer
    x = 76,655.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.