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Finding the Third Proportional to 131,259 and 203,625

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Solution

The third proportional to 131,259 and 203,625 is: 315,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,259 : 203,625 = 203,625 : x
  2. Step 2: Convert to fraction form
    131,259/203,625 = 203,625/x
  3. Step 3: Cross multiply
    131,259x = 203,625 × 203,625
  4. Step 4: Simplify right side
    131,259x = 41,463,140,625
  5. Step 5: Solve for x
    x = 41,463,140,625/131,259
  6. Step 6: Final answer
    x = 315,887.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.