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Finding the Third Proportional to 15,986.74 and 20,901.80

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Solution

The third proportional to 15,986.74 and 20,901.80 is: 27,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.74 : 20,901.80 = 20,901.80 : x
  2. Step 2: Convert to fraction form
    15,986.74/20,901.80 = 20,901.80/x
  3. Step 3: Cross multiply
    15,986.74x = 20,901.80 × 20,901.80
  4. Step 4: Simplify right side
    15,986.74x = 436,885,112.60
  5. Step 5: Solve for x
    x = 436,885,112.60/15,986.74
  6. Step 6: Final answer
    x = 27,327.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.