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Finding the Third Proportional to 15,334 and 33,710

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Solution

The third proportional to 15,334 and 33,710 is: 74,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 33,710 = 33,710 : x
  2. Step 2: Convert to fraction form
    15,334/33,710 = 33,710/x
  3. Step 3: Cross multiply
    15,334x = 33,710 × 33,710
  4. Step 4: Simplify right side
    15,334x = 1,136,364,100
  5. Step 5: Solve for x
    x = 1,136,364,100/15,334
  6. Step 6: Final answer
    x = 74,107.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.