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Finding the Third Proportional to 131,186.25 and 200,579.63

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Solution

The third proportional to 131,186.25 and 200,579.63 is: 306,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,186.25 : 200,579.63 = 200,579.63 : x
  2. Step 2: Convert to fraction form
    131,186.25/200,579.63 = 200,579.63/x
  3. Step 3: Cross multiply
    131,186.25x = 200,579.63 × 200,579.63
  4. Step 4: Simplify right side
    131,186.25x = 40,232,185,965.14
  5. Step 5: Solve for x
    x = 40,232,185,965.14/131,186.25
  6. Step 6: Final answer
    x = 306,679.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.