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Finding the Third Proportional to 223,878 and 460,896

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Solution

The third proportional to 223,878 and 460,896 is: 948,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,878 : 460,896 = 460,896 : x
  2. Step 2: Convert to fraction form
    223,878/460,896 = 460,896/x
  3. Step 3: Cross multiply
    223,878x = 460,896 × 460,896
  4. Step 4: Simplify right side
    223,878x = 212,425,122,816
  5. Step 5: Solve for x
    x = 212,425,122,816/223,878
  6. Step 6: Final answer
    x = 948,843.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.