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Finding the Third Proportional to 82,836 and 128,502

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Solution

The third proportional to 82,836 and 128,502 is: 199,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 128,502 = 128,502 : x
  2. Step 2: Convert to fraction form
    82,836/128,502 = 128,502/x
  3. Step 3: Cross multiply
    82,836x = 128,502 × 128,502
  4. Step 4: Simplify right side
    82,836x = 16,512,764,004
  5. Step 5: Solve for x
    x = 16,512,764,004/82,836
  6. Step 6: Final answer
    x = 199,342.85

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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.