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Finding the Third Proportional to 15,212 and 31,816

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Solution

The third proportional to 15,212 and 31,816 is: 66,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 31,816 = 31,816 : x
  2. Step 2: Convert to fraction form
    15,212/31,816 = 31,816/x
  3. Step 3: Cross multiply
    15,212x = 31,816 × 31,816
  4. Step 4: Simplify right side
    15,212x = 1,012,257,856
  5. Step 5: Solve for x
    x = 1,012,257,856/15,212
  6. Step 6: Final answer
    x = 66,543.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.