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Finding the Third Proportional to 232,930 and 505,412

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Solution

The third proportional to 232,930 and 505,412 is: 1,096,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,930 : 505,412 = 505,412 : x
  2. Step 2: Convert to fraction form
    232,930/505,412 = 505,412/x
  3. Step 3: Cross multiply
    232,930x = 505,412 × 505,412
  4. Step 4: Simplify right side
    232,930x = 255,441,289,744
  5. Step 5: Solve for x
    x = 255,441,289,744/232,930
  6. Step 6: Final answer
    x = 1,096,644.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.