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Finding the Third Proportional to 87,907 and 131,281

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Solution

The third proportional to 87,907 and 131,281 is: 196,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,907 : 131,281 = 131,281 : x
  2. Step 2: Convert to fraction form
    87,907/131,281 = 131,281/x
  3. Step 3: Cross multiply
    87,907x = 131,281 × 131,281
  4. Step 4: Simplify right side
    87,907x = 17,234,700,961
  5. Step 5: Solve for x
    x = 17,234,700,961/87,907
  6. Step 6: Final answer
    x = 196,056.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.