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Finding the Third Proportional to 151,790 and 218,631

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Solution

The third proportional to 151,790 and 218,631 is: 314,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,790 : 218,631 = 218,631 : x
  2. Step 2: Convert to fraction form
    151,790/218,631 = 218,631/x
  3. Step 3: Cross multiply
    151,790x = 218,631 × 218,631
  4. Step 4: Simplify right side
    151,790x = 47,799,514,161
  5. Step 5: Solve for x
    x = 47,799,514,161/151,790
  6. Step 6: Final answer
    x = 314,905.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.