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Finding the Third Proportional to 131,467 and 287,811

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Solution

The third proportional to 131,467 and 287,811 is: 630,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,467 : 287,811 = 287,811 : x
  2. Step 2: Convert to fraction form
    131,467/287,811 = 287,811/x
  3. Step 3: Cross multiply
    131,467x = 287,811 × 287,811
  4. Step 4: Simplify right side
    131,467x = 82,835,171,721
  5. Step 5: Solve for x
    x = 82,835,171,721/131,467
  6. Step 6: Final answer
    x = 630,083.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.