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Finding the Third Proportional to 225,158 and 345,225

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Solution

The third proportional to 225,158 and 345,225 is: 529,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,158 : 345,225 = 345,225 : x
  2. Step 2: Convert to fraction form
    225,158/345,225 = 345,225/x
  3. Step 3: Cross multiply
    225,158x = 345,225 × 345,225
  4. Step 4: Simplify right side
    225,158x = 119,180,300,625
  5. Step 5: Solve for x
    x = 119,180,300,625/225,158
  6. Step 6: Final answer
    x = 529,318.53

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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.