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Finding the Third Proportional to 81,006 and 122,628

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Solution

The third proportional to 81,006 and 122,628 is: 185,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,006 : 122,628 = 122,628 : x
  2. Step 2: Convert to fraction form
    81,006/122,628 = 122,628/x
  3. Step 3: Cross multiply
    81,006x = 122,628 × 122,628
  4. Step 4: Simplify right side
    81,006x = 15,037,626,384
  5. Step 5: Solve for x
    x = 15,037,626,384/81,006
  6. Step 6: Final answer
    x = 185,635.96

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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.