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Finding the Third Proportional to 231,216 and 345,258

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Solution

The third proportional to 231,216 and 345,258 is: 515,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,216 : 345,258 = 345,258 : x
  2. Step 2: Convert to fraction form
    231,216/345,258 = 345,258/x
  3. Step 3: Cross multiply
    231,216x = 345,258 × 345,258
  4. Step 4: Simplify right side
    231,216x = 119,203,086,564
  5. Step 5: Solve for x
    x = 119,203,086,564/231,216
  6. Step 6: Final answer
    x = 515,548.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.