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Finding the Third Proportional to 15,692.50 and 21,999

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Solution

The third proportional to 15,692.50 and 21,999 is: 30,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.50 : 21,999 = 21,999 : x
  2. Step 2: Convert to fraction form
    15,692.50/21,999 = 21,999/x
  3. Step 3: Cross multiply
    15,692.50x = 21,999 × 21,999
  4. Step 4: Simplify right side
    15,692.50x = 483,956,001
  5. Step 5: Solve for x
    x = 483,956,001/15,692.50
  6. Step 6: Final answer
    x = 30,839.96

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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.