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Finding the Third Proportional to 231,129 and 345,762

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Solution

The third proportional to 231,129 and 345,762 is: 517,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,129 : 345,762 = 345,762 : x
  2. Step 2: Convert to fraction form
    231,129/345,762 = 345,762/x
  3. Step 3: Cross multiply
    231,129x = 345,762 × 345,762
  4. Step 4: Simplify right side
    231,129x = 119,551,360,644
  5. Step 5: Solve for x
    x = 119,551,360,644/231,129
  6. Step 6: Final answer
    x = 517,249.50

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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.