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Finding the Third Proportional to 223,238 and 345,225

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Solution

The third proportional to 223,238 and 345,225 is: 533,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,238 : 345,225 = 345,225 : x
  2. Step 2: Convert to fraction form
    223,238/345,225 = 345,225/x
  3. Step 3: Cross multiply
    223,238x = 345,225 × 345,225
  4. Step 4: Simplify right side
    223,238x = 119,180,300,625
  5. Step 5: Solve for x
    x = 119,180,300,625/223,238
  6. Step 6: Final answer
    x = 533,871.03

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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.