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Finding the Third Proportional to 15,722 and 34,172

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Solution

The third proportional to 15,722 and 34,172 is: 74,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 34,172 = 34,172 : x
  2. Step 2: Convert to fraction form
    15,722/34,172 = 34,172/x
  3. Step 3: Cross multiply
    15,722x = 34,172 × 34,172
  4. Step 4: Simplify right side
    15,722x = 1,167,725,584
  5. Step 5: Solve for x
    x = 1,167,725,584/15,722
  6. Step 6: Final answer
    x = 74,273.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.