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Finding the Third Proportional to 81,462 and 126,133

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Solution

The third proportional to 81,462 and 126,133 is: 195,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462 : 126,133 = 126,133 : x
  2. Step 2: Convert to fraction form
    81,462/126,133 = 126,133/x
  3. Step 3: Cross multiply
    81,462x = 126,133 × 126,133
  4. Step 4: Simplify right side
    81,462x = 15,909,533,689
  5. Step 5: Solve for x
    x = 15,909,533,689/81,462
  6. Step 6: Final answer
    x = 195,300.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.