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Finding the Third Proportional to 258,302 and 347,115

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Solution

The third proportional to 258,302 and 347,115 is: 466,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,302 : 347,115 = 347,115 : x
  2. Step 2: Convert to fraction form
    258,302/347,115 = 347,115/x
  3. Step 3: Cross multiply
    258,302x = 347,115 × 347,115
  4. Step 4: Simplify right side
    258,302x = 120,488,823,225
  5. Step 5: Solve for x
    x = 120,488,823,225/258,302
  6. Step 6: Final answer
    x = 466,464.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.