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Finding the Third Proportional to 82,517 and 120,247

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Solution

The third proportional to 82,517 and 120,247 is: 175,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,517 : 120,247 = 120,247 : x
  2. Step 2: Convert to fraction form
    82,517/120,247 = 120,247/x
  3. Step 3: Cross multiply
    82,517x = 120,247 × 120,247
  4. Step 4: Simplify right side
    82,517x = 14,459,341,009
  5. Step 5: Solve for x
    x = 14,459,341,009/82,517
  6. Step 6: Final answer
    x = 175,228.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.