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Finding the Third Proportional to 281,884 and 386,538

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Solution

The third proportional to 281,884 and 386,538 is: 530,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,884 : 386,538 = 386,538 : x
  2. Step 2: Convert to fraction form
    281,884/386,538 = 386,538/x
  3. Step 3: Cross multiply
    281,884x = 386,538 × 386,538
  4. Step 4: Simplify right side
    281,884x = 149,411,625,444
  5. Step 5: Solve for x
    x = 149,411,625,444/281,884
  6. Step 6: Final answer
    x = 530,046.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.