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Finding the Third Proportional to 173 and 309

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Solution

The third proportional to 173 and 309 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    173/309 = 309/x
  3. Step 3: Cross multiply
    173x = 309 × 309
  4. Step 4: Simplify right side
    173x = 95,481
  5. Step 5: Solve for x
    x = 95,481/173
  6. Step 6: Final answer
    x = 551.91

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.