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Finding the Third Proportional to 251,277 and 388,581

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Solution

The third proportional to 251,277 and 388,581 is: 600,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,277 : 388,581 = 388,581 : x
  2. Step 2: Convert to fraction form
    251,277/388,581 = 388,581/x
  3. Step 3: Cross multiply
    251,277x = 388,581 × 388,581
  4. Step 4: Simplify right side
    251,277x = 150,995,193,561
  5. Step 5: Solve for x
    x = 150,995,193,561/251,277
  6. Step 6: Final answer
    x = 600,911.32

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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.