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Finding the Third Proportional to 388,228 and 582,342

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Solution

The third proportional to 388,228 and 582,342 is: 873,513

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,228 : 582,342 = 582,342 : x
  2. Step 2: Convert to fraction form
    388,228/582,342 = 582,342/x
  3. Step 3: Cross multiply
    388,228x = 582,342 × 582,342
  4. Step 4: Simplify right side
    388,228x = 339,122,204,964
  5. Step 5: Solve for x
    x = 339,122,204,964/388,228
  6. Step 6: Final answer
    x = 873,513

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.