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Finding the Third Proportional to 172,446 and 269,148

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Solution

The third proportional to 172,446 and 269,148 is: 420,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,446 : 269,148 = 269,148 : x
  2. Step 2: Convert to fraction form
    172,446/269,148 = 269,148/x
  3. Step 3: Cross multiply
    172,446x = 269,148 × 269,148
  4. Step 4: Simplify right side
    172,446x = 72,440,645,904
  5. Step 5: Solve for x
    x = 72,440,645,904/172,446
  6. Step 6: Final answer
    x = 420,077.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.