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Finding the Third Proportional to 286,039.75 and 388,479

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Solution

The third proportional to 286,039.75 and 388,479 is: 527,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,039.75 : 388,479 = 388,479 : x
  2. Step 2: Convert to fraction form
    286,039.75/388,479 = 388,479/x
  3. Step 3: Cross multiply
    286,039.75x = 388,479 × 388,479
  4. Step 4: Simplify right side
    286,039.75x = 150,915,933,441
  5. Step 5: Solve for x
    x = 150,915,933,441/286,039.75
  6. Step 6: Final answer
    x = 527,604.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.