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Finding the Third Proportional to 52,610 and 81,619

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Solution

The third proportional to 52,610 and 81,619 is: 126,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,610 : 81,619 = 81,619 : x
  2. Step 2: Convert to fraction form
    52,610/81,619 = 81,619/x
  3. Step 3: Cross multiply
    52,610x = 81,619 × 81,619
  4. Step 4: Simplify right side
    52,610x = 6,661,661,161
  5. Step 5: Solve for x
    x = 6,661,661,161/52,610
  6. Step 6: Final answer
    x = 126,623.48

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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.