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Finding the Third Proportional to 15,616 and 31,660

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Solution

The third proportional to 15,616 and 31,660 is: 64,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616 : 31,660 = 31,660 : x
  2. Step 2: Convert to fraction form
    15,616/31,660 = 31,660/x
  3. Step 3: Cross multiply
    15,616x = 31,660 × 31,660
  4. Step 4: Simplify right side
    15,616x = 1,002,355,600
  5. Step 5: Solve for x
    x = 1,002,355,600/15,616
  6. Step 6: Final answer
    x = 64,187.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.