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Finding the Third Proportional to 33,729 and 79,584

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Solution

The third proportional to 33,729 and 79,584 is: 187,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729 : 79,584 = 79,584 : x
  2. Step 2: Convert to fraction form
    33,729/79,584 = 79,584/x
  3. Step 3: Cross multiply
    33,729x = 79,584 × 79,584
  4. Step 4: Simplify right side
    33,729x = 6,333,613,056
  5. Step 5: Solve for x
    x = 6,333,613,056/33,729
  6. Step 6: Final answer
    x = 187,779.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.