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Finding the Third Proportional to 218,099 and 328,241

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Solution

The third proportional to 218,099 and 328,241 is: 494,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,099 : 328,241 = 328,241 : x
  2. Step 2: Convert to fraction form
    218,099/328,241 = 328,241/x
  3. Step 3: Cross multiply
    218,099x = 328,241 × 328,241
  4. Step 4: Simplify right side
    218,099x = 107,742,154,081
  5. Step 5: Solve for x
    x = 107,742,154,081/218,099
  6. Step 6: Final answer
    x = 494,005.72

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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.