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Finding the Third Proportional to 175,512 and 342,275

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Solution

The third proportional to 175,512 and 342,275 is: 667,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,512 : 342,275 = 342,275 : x
  2. Step 2: Convert to fraction form
    175,512/342,275 = 342,275/x
  3. Step 3: Cross multiply
    175,512x = 342,275 × 342,275
  4. Step 4: Simplify right side
    175,512x = 117,152,175,625
  5. Step 5: Solve for x
    x = 117,152,175,625/175,512
  6. Step 6: Final answer
    x = 667,488.12

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.