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Finding the Third Proportional to 282,395 and 394,984

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Solution

The third proportional to 282,395 and 394,984 is: 552,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,395 : 394,984 = 394,984 : x
  2. Step 2: Convert to fraction form
    282,395/394,984 = 394,984/x
  3. Step 3: Cross multiply
    282,395x = 394,984 × 394,984
  4. Step 4: Simplify right side
    282,395x = 156,012,360,256
  5. Step 5: Solve for x
    x = 156,012,360,256/282,395
  6. Step 6: Final answer
    x = 552,461.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.