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Finding the Third Proportional to 15,872 and 34,178

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Solution

The third proportional to 15,872 and 34,178 is: 73,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 34,178 = 34,178 : x
  2. Step 2: Convert to fraction form
    15,872/34,178 = 34,178/x
  3. Step 3: Cross multiply
    15,872x = 34,178 × 34,178
  4. Step 4: Simplify right side
    15,872x = 1,168,135,684
  5. Step 5: Solve for x
    x = 1,168,135,684/15,872
  6. Step 6: Final answer
    x = 73,597.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.