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Finding the Third Proportional to 172.88 and 345.75

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Solution

The third proportional to 172.88 and 345.75 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 345.75 = 345.75 : x
  2. Step 2: Convert to fraction form
    172.88/345.75 = 345.75/x
  3. Step 3: Cross multiply
    172.88x = 345.75 × 345.75
  4. Step 4: Simplify right side
    172.88x = 119,543.06
  5. Step 5: Solve for x
    x = 119,543.06/172.88
  6. Step 6: Final answer
    x = 691.50

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.