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Finding the Third Proportional to 156,992 and 330,660

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Solution

The third proportional to 156,992 and 330,660 is: 696,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,992 : 330,660 = 330,660 : x
  2. Step 2: Convert to fraction form
    156,992/330,660 = 330,660/x
  3. Step 3: Cross multiply
    156,992x = 330,660 × 330,660
  4. Step 4: Simplify right side
    156,992x = 109,336,035,600
  5. Step 5: Solve for x
    x = 109,336,035,600/156,992
  6. Step 6: Final answer
    x = 696,443.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.