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Finding the Third Proportional to 131,431 and 285,005

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Solution

The third proportional to 131,431 and 285,005 is: 618,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,431 : 285,005 = 285,005 : x
  2. Step 2: Convert to fraction form
    131,431/285,005 = 285,005/x
  3. Step 3: Cross multiply
    131,431x = 285,005 × 285,005
  4. Step 4: Simplify right side
    131,431x = 81,227,850,025
  5. Step 5: Solve for x
    x = 81,227,850,025/131,431
  6. Step 6: Final answer
    x = 618,026.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.