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Finding the Third Proportional to 75,138 and 175,611

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Solution

The third proportional to 75,138 and 175,611 is: 410,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138 : 175,611 = 175,611 : x
  2. Step 2: Convert to fraction form
    75,138/175,611 = 175,611/x
  3. Step 3: Cross multiply
    75,138x = 175,611 × 175,611
  4. Step 4: Simplify right side
    75,138x = 30,839,223,321
  5. Step 5: Solve for x
    x = 30,839,223,321/75,138
  6. Step 6: Final answer
    x = 410,434.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.