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Finding the Third Proportional to 251,314 and 388,635

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Solution

The third proportional to 251,314 and 388,635 is: 600,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,314 : 388,635 = 388,635 : x
  2. Step 2: Convert to fraction form
    251,314/388,635 = 388,635/x
  3. Step 3: Cross multiply
    251,314x = 388,635 × 388,635
  4. Step 4: Simplify right side
    251,314x = 151,037,163,225
  5. Step 5: Solve for x
    x = 151,037,163,225/251,314
  6. Step 6: Final answer
    x = 600,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.