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Finding the Third Proportional to 281,538 and 424,728

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Solution

The third proportional to 281,538 and 424,728 is: 640,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538 : 424,728 = 424,728 : x
  2. Step 2: Convert to fraction form
    281,538/424,728 = 424,728/x
  3. Step 3: Cross multiply
    281,538x = 424,728 × 424,728
  4. Step 4: Simplify right side
    281,538x = 180,393,873,984
  5. Step 5: Solve for x
    x = 180,393,873,984/281,538
  6. Step 6: Final answer
    x = 640,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.