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Finding the Third Proportional to 131,416.50 and 285,903

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Solution

The third proportional to 131,416.50 and 285,903 is: 621,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,416.50 : 285,903 = 285,903 : x
  2. Step 2: Convert to fraction form
    131,416.50/285,903 = 285,903/x
  3. Step 3: Cross multiply
    131,416.50x = 285,903 × 285,903
  4. Step 4: Simplify right side
    131,416.50x = 81,740,525,409
  5. Step 5: Solve for x
    x = 81,740,525,409/131,416.50
  6. Step 6: Final answer
    x = 621,995.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.