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Finding the Third Proportional to 230,553 and 345,830

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Solution

The third proportional to 230,553 and 345,830 is: 518,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,553 : 345,830 = 345,830 : x
  2. Step 2: Convert to fraction form
    230,553/345,830 = 345,830/x
  3. Step 3: Cross multiply
    230,553x = 345,830 × 345,830
  4. Step 4: Simplify right side
    230,553x = 119,598,388,900
  5. Step 5: Solve for x
    x = 119,598,388,900/230,553
  6. Step 6: Final answer
    x = 518,745.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.