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Finding the Third Proportional to 120,014 and 172,869

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Solution

The third proportional to 120,014 and 172,869 is: 249,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,014 : 172,869 = 172,869 : x
  2. Step 2: Convert to fraction form
    120,014/172,869 = 172,869/x
  3. Step 3: Cross multiply
    120,014x = 172,869 × 172,869
  4. Step 4: Simplify right side
    120,014x = 29,883,691,161
  5. Step 5: Solve for x
    x = 29,883,691,161/120,014
  6. Step 6: Final answer
    x = 249,001.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.