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Finding the Third Proportional to 18,770 and 39,973

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Solution

The third proportional to 18,770 and 39,973 is: 85,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770 : 39,973 = 39,973 : x
  2. Step 2: Convert to fraction form
    18,770/39,973 = 39,973/x
  3. Step 3: Cross multiply
    18,770x = 39,973 × 39,973
  4. Step 4: Simplify right side
    18,770x = 1,597,840,729
  5. Step 5: Solve for x
    x = 1,597,840,729/18,770
  6. Step 6: Final answer
    x = 85,127.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.