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Finding the Third Proportional to 53,764 and 86,318

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Solution

The third proportional to 53,764 and 86,318 is: 138,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764 : 86,318 = 86,318 : x
  2. Step 2: Convert to fraction form
    53,764/86,318 = 86,318/x
  3. Step 3: Cross multiply
    53,764x = 86,318 × 86,318
  4. Step 4: Simplify right side
    53,764x = 7,450,797,124
  5. Step 5: Solve for x
    x = 7,450,797,124/53,764
  6. Step 6: Final answer
    x = 138,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.