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Finding the Third Proportional to 82,688 and 106,176

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Solution

The third proportional to 82,688 and 106,176 is: 136,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,688 : 106,176 = 106,176 : x
  2. Step 2: Convert to fraction form
    82,688/106,176 = 106,176/x
  3. Step 3: Cross multiply
    82,688x = 106,176 × 106,176
  4. Step 4: Simplify right side
    82,688x = 11,273,342,976
  5. Step 5: Solve for x
    x = 11,273,342,976/82,688
  6. Step 6: Final answer
    x = 136,335.90

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.