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Finding the Third Proportional to 173.18 and 259.35

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Solution

The third proportional to 173.18 and 259.35 is: 388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.18 : 259.35 = 259.35 : x
  2. Step 2: Convert to fraction form
    173.18/259.35 = 259.35/x
  3. Step 3: Cross multiply
    173.18x = 259.35 × 259.35
  4. Step 4: Simplify right side
    173.18x = 67,261.21
  5. Step 5: Solve for x
    x = 67,261.21/173.18
  6. Step 6: Final answer
    x = 388.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.