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Finding the Third Proportional to 108,720 and 179,936

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Solution

The third proportional to 108,720 and 179,936 is: 297,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,720 : 179,936 = 179,936 : x
  2. Step 2: Convert to fraction form
    108,720/179,936 = 179,936/x
  3. Step 3: Cross multiply
    108,720x = 179,936 × 179,936
  4. Step 4: Simplify right side
    108,720x = 32,376,964,096
  5. Step 5: Solve for x
    x = 32,376,964,096/108,720
  6. Step 6: Final answer
    x = 297,801.36

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.