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Finding the Third Proportional to 205,730 and 449,910

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Solution

The third proportional to 205,730 and 449,910 is: 983,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,730 : 449,910 = 449,910 : x
  2. Step 2: Convert to fraction form
    205,730/449,910 = 449,910/x
  3. Step 3: Cross multiply
    205,730x = 449,910 × 449,910
  4. Step 4: Simplify right side
    205,730x = 202,419,008,100
  5. Step 5: Solve for x
    x = 202,419,008,100/205,730
  6. Step 6: Final answer
    x = 983,906.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.