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Finding the Third Proportional to 156,796 and 330,872

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Solution

The third proportional to 156,796 and 330,872 is: 698,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,796 : 330,872 = 330,872 : x
  2. Step 2: Convert to fraction form
    156,796/330,872 = 330,872/x
  3. Step 3: Cross multiply
    156,796x = 330,872 × 330,872
  4. Step 4: Simplify right side
    156,796x = 109,476,280,384
  5. Step 5: Solve for x
    x = 109,476,280,384/156,796
  6. Step 6: Final answer
    x = 698,208.38

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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.