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Finding the Third Proportional to 82,950 and 128,652

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Solution

The third proportional to 82,950 and 128,652 is: 199,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950 : 128,652 = 128,652 : x
  2. Step 2: Convert to fraction form
    82,950/128,652 = 128,652/x
  3. Step 3: Cross multiply
    82,950x = 128,652 × 128,652
  4. Step 4: Simplify right side
    82,950x = 16,551,337,104
  5. Step 5: Solve for x
    x = 16,551,337,104/82,950
  6. Step 6: Final answer
    x = 199,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.