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Finding the Third Proportional to 218,108 and 455,980

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Solution

The third proportional to 218,108 and 455,980 is: 953,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,108 : 455,980 = 455,980 : x
  2. Step 2: Convert to fraction form
    218,108/455,980 = 455,980/x
  3. Step 3: Cross multiply
    218,108x = 455,980 × 455,980
  4. Step 4: Simplify right side
    218,108x = 207,917,760,400
  5. Step 5: Solve for x
    x = 207,917,760,400/218,108
  6. Step 6: Final answer
    x = 953,278.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.