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Finding the Third Proportional to 218,721 and 454,893

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Solution

The third proportional to 218,721 and 454,893 is: 946,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,721 : 454,893 = 454,893 : x
  2. Step 2: Convert to fraction form
    218,721/454,893 = 454,893/x
  3. Step 3: Cross multiply
    218,721x = 454,893 × 454,893
  4. Step 4: Simplify right side
    218,721x = 206,927,641,449
  5. Step 5: Solve for x
    x = 206,927,641,449/218,721
  6. Step 6: Final answer
    x = 946,080.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.