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Finding the Third Proportional to 33,724 and 53,596

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Solution

The third proportional to 33,724 and 53,596 is: 85,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724 : 53,596 = 53,596 : x
  2. Step 2: Convert to fraction form
    33,724/53,596 = 53,596/x
  3. Step 3: Cross multiply
    33,724x = 53,596 × 53,596
  4. Step 4: Simplify right side
    33,724x = 2,872,531,216
  5. Step 5: Solve for x
    x = 2,872,531,216/33,724
  6. Step 6: Final answer
    x = 85,177.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.