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Finding the Third Proportional to 112,662 and 168,639

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Solution

The third proportional to 112,662 and 168,639 is: 252,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,662 : 168,639 = 168,639 : x
  2. Step 2: Convert to fraction form
    112,662/168,639 = 168,639/x
  3. Step 3: Cross multiply
    112,662x = 168,639 × 168,639
  4. Step 4: Simplify right side
    112,662x = 28,439,112,321
  5. Step 5: Solve for x
    x = 28,439,112,321/112,662
  6. Step 6: Final answer
    x = 252,428.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.