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Finding the Third Proportional to 388,182 and 617,265

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Solution

The third proportional to 388,182 and 617,265 is: 981,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,182 : 617,265 = 617,265 : x
  2. Step 2: Convert to fraction form
    388,182/617,265 = 617,265/x
  3. Step 3: Cross multiply
    388,182x = 617,265 × 617,265
  4. Step 4: Simplify right side
    388,182x = 381,016,080,225
  5. Step 5: Solve for x
    x = 381,016,080,225/388,182
  6. Step 6: Final answer
    x = 981,539.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.