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Finding the Third Proportional to 82,262 and 124,406

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Solution

The third proportional to 82,262 and 124,406 is: 188,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262 : 124,406 = 124,406 : x
  2. Step 2: Convert to fraction form
    82,262/124,406 = 124,406/x
  3. Step 3: Cross multiply
    82,262x = 124,406 × 124,406
  4. Step 4: Simplify right side
    82,262x = 15,476,852,836
  5. Step 5: Solve for x
    x = 15,476,852,836/82,262
  6. Step 6: Final answer
    x = 188,140.97

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