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Finding the Third Proportional to 7,692 and 10,999.88

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Solution

The third proportional to 7,692 and 10,999.88 is: 15,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,999.88 = 10,999.88 : x
  2. Step 2: Convert to fraction form
    7,692/10,999.88 = 10,999.88/x
  3. Step 3: Cross multiply
    7,692x = 10,999.88 × 10,999.88
  4. Step 4: Simplify right side
    7,692x = 120,997,250.02
  5. Step 5: Solve for x
    x = 120,997,250.02/7,692
  6. Step 6: Final answer
    x = 15,730.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.