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Finding the Third Proportional to 223,535 and 338,192

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Solution

The third proportional to 223,535 and 338,192 is: 511,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,535 : 338,192 = 338,192 : x
  2. Step 2: Convert to fraction form
    223,535/338,192 = 338,192/x
  3. Step 3: Cross multiply
    223,535x = 338,192 × 338,192
  4. Step 4: Simplify right side
    223,535x = 114,373,828,864
  5. Step 5: Solve for x
    x = 114,373,828,864/223,535
  6. Step 6: Final answer
    x = 511,659.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.