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Finding the Third Proportional to 82,318 and 124,625

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Solution

The third proportional to 82,318 and 124,625 is: 188,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,318 : 124,625 = 124,625 : x
  2. Step 2: Convert to fraction form
    82,318/124,625 = 124,625/x
  3. Step 3: Cross multiply
    82,318x = 124,625 × 124,625
  4. Step 4: Simplify right side
    82,318x = 15,531,390,625
  5. Step 5: Solve for x
    x = 15,531,390,625/82,318
  6. Step 6: Final answer
    x = 188,675.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.