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Finding the Third Proportional to 53,072 and 82,836

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Solution

The third proportional to 53,072 and 82,836 is: 129,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072 : 82,836 = 82,836 : x
  2. Step 2: Convert to fraction form
    53,072/82,836 = 82,836/x
  3. Step 3: Cross multiply
    53,072x = 82,836 × 82,836
  4. Step 4: Simplify right side
    53,072x = 6,861,802,896
  5. Step 5: Solve for x
    x = 6,861,802,896/53,072
  6. Step 6: Final answer
    x = 129,292.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.