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Finding the Third Proportional to 223,832 and 515,475

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Solution

The third proportional to 223,832 and 515,475 is: 1,187,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,832 : 515,475 = 515,475 : x
  2. Step 2: Convert to fraction form
    223,832/515,475 = 515,475/x
  3. Step 3: Cross multiply
    223,832x = 515,475 × 515,475
  4. Step 4: Simplify right side
    223,832x = 265,714,475,625
  5. Step 5: Solve for x
    x = 265,714,475,625/223,832
  6. Step 6: Final answer
    x = 1,187,115.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.