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Finding the Third Proportional to 218,008 and 308,504

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Solution

The third proportional to 218,008 and 308,504 is: 436,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,008 : 308,504 = 308,504 : x
  2. Step 2: Convert to fraction form
    218,008/308,504 = 308,504/x
  3. Step 3: Cross multiply
    218,008x = 308,504 × 308,504
  4. Step 4: Simplify right side
    218,008x = 95,174,718,016
  5. Step 5: Solve for x
    x = 95,174,718,016/218,008
  6. Step 6: Final answer
    x = 436,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.