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Finding the Third Proportional to 112,720 and 169,512

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Solution

The third proportional to 112,720 and 169,512 is: 254,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,720 : 169,512 = 169,512 : x
  2. Step 2: Convert to fraction form
    112,720/169,512 = 169,512/x
  3. Step 3: Cross multiply
    112,720x = 169,512 × 169,512
  4. Step 4: Simplify right side
    112,720x = 28,734,318,144
  5. Step 5: Solve for x
    x = 28,734,318,144/112,720
  6. Step 6: Final answer
    x = 254,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.