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Finding the Third Proportional to 282,227 and 402,320

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Solution

The third proportional to 282,227 and 402,320 is: 573,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,227 : 402,320 = 402,320 : x
  2. Step 2: Convert to fraction form
    282,227/402,320 = 402,320/x
  3. Step 3: Cross multiply
    282,227x = 402,320 × 402,320
  4. Step 4: Simplify right side
    282,227x = 161,861,382,400
  5. Step 5: Solve for x
    x = 161,861,382,400/282,227
  6. Step 6: Final answer
    x = 573,514.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.