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Finding the Third Proportional to 172,544 and 275,460

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Solution

The third proportional to 172,544 and 275,460 is: 439,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,544 : 275,460 = 275,460 : x
  2. Step 2: Convert to fraction form
    172,544/275,460 = 275,460/x
  3. Step 3: Cross multiply
    172,544x = 275,460 × 275,460
  4. Step 4: Simplify right side
    172,544x = 75,878,211,600
  5. Step 5: Solve for x
    x = 75,878,211,600/172,544
  6. Step 6: Final answer
    x = 439,761.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.