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Finding the Third Proportional to 172,320 and 364,512

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Solution

The third proportional to 172,320 and 364,512 is: 771,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,320 : 364,512 = 364,512 : x
  2. Step 2: Convert to fraction form
    172,320/364,512 = 364,512/x
  3. Step 3: Cross multiply
    172,320x = 364,512 × 364,512
  4. Step 4: Simplify right side
    172,320x = 132,868,998,144
  5. Step 5: Solve for x
    x = 132,868,998,144/172,320
  6. Step 6: Final answer
    x = 771,059.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.