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Finding the Third Proportional to 19,777.97 and 40,290.38

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Solution

The third proportional to 19,777.97 and 40,290.38 is: 82,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.97 : 40,290.38 = 40,290.38 : x
  2. Step 2: Convert to fraction form
    19,777.97/40,290.38 = 40,290.38/x
  3. Step 3: Cross multiply
    19,777.97x = 40,290.38 × 40,290.38
  4. Step 4: Simplify right side
    19,777.97x = 1,623,314,317.64
  5. Step 5: Solve for x
    x = 1,623,314,317.64/19,777.97
  6. Step 6: Final answer
    x = 82,076.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.