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Finding the Third Proportional to 218,397 and 339,258

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Solution

The third proportional to 218,397 and 339,258 is: 527,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,397 : 339,258 = 339,258 : x
  2. Step 2: Convert to fraction form
    218,397/339,258 = 339,258/x
  3. Step 3: Cross multiply
    218,397x = 339,258 × 339,258
  4. Step 4: Simplify right side
    218,397x = 115,095,990,564
  5. Step 5: Solve for x
    x = 115,095,990,564/218,397
  6. Step 6: Final answer
    x = 527,003.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.