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Finding the Third Proportional to 15,729.19 and 21,991.50

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Solution

The third proportional to 15,729.19 and 21,991.50 is: 30,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.19 : 21,991.50 = 21,991.50 : x
  2. Step 2: Convert to fraction form
    15,729.19/21,991.50 = 21,991.50/x
  3. Step 3: Cross multiply
    15,729.19x = 21,991.50 × 21,991.50
  4. Step 4: Simplify right side
    15,729.19x = 483,626,072.25
  5. Step 5: Solve for x
    x = 483,626,072.25/15,729.19
  6. Step 6: Final answer
    x = 30,747.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.