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Finding the Third Proportional to 15,724 and 34,176

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Solution

The third proportional to 15,724 and 34,176 is: 74,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 34,176 = 34,176 : x
  2. Step 2: Convert to fraction form
    15,724/34,176 = 34,176/x
  3. Step 3: Cross multiply
    15,724x = 34,176 × 34,176
  4. Step 4: Simplify right side
    15,724x = 1,167,998,976
  5. Step 5: Solve for x
    x = 1,167,998,976/15,724
  6. Step 6: Final answer
    x = 74,281.29

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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.