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Finding the Third Proportional to 112,211 and 172,469

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Solution

The third proportional to 112,211 and 172,469 is: 265,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,211 : 172,469 = 172,469 : x
  2. Step 2: Convert to fraction form
    112,211/172,469 = 172,469/x
  3. Step 3: Cross multiply
    112,211x = 172,469 × 172,469
  4. Step 4: Simplify right side
    112,211x = 29,745,555,961
  5. Step 5: Solve for x
    x = 29,745,555,961/112,211
  6. Step 6: Final answer
    x = 265,085.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.