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Finding the Third Proportional to 118,413 and 225,912

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Solution

The third proportional to 118,413 and 225,912 is: 431,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,413 : 225,912 = 225,912 : x
  2. Step 2: Convert to fraction form
    118,413/225,912 = 225,912/x
  3. Step 3: Cross multiply
    118,413x = 225,912 × 225,912
  4. Step 4: Simplify right side
    118,413x = 51,036,231,744
  5. Step 5: Solve for x
    x = 51,036,231,744/118,413
  6. Step 6: Final answer
    x = 431,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.