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Finding the Third Proportional to 172,032 and 273,920

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Solution

The third proportional to 172,032 and 273,920 is: 436,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032 : 273,920 = 273,920 : x
  2. Step 2: Convert to fraction form
    172,032/273,920 = 273,920/x
  3. Step 3: Cross multiply
    172,032x = 273,920 × 273,920
  4. Step 4: Simplify right side
    172,032x = 75,032,166,400
  5. Step 5: Solve for x
    x = 75,032,166,400/172,032
  6. Step 6: Final answer
    x = 436,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.