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Finding the Third Proportional to 204,538 and 287,124

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Solution

The third proportional to 204,538 and 287,124 is: 403,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538 : 287,124 = 287,124 : x
  2. Step 2: Convert to fraction form
    204,538/287,124 = 287,124/x
  3. Step 3: Cross multiply
    204,538x = 287,124 × 287,124
  4. Step 4: Simplify right side
    204,538x = 82,440,191,376
  5. Step 5: Solve for x
    x = 82,440,191,376/204,538
  6. Step 6: Final answer
    x = 403,055.62

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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.