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Finding the Third Proportional to 258,804 and 347,806

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Solution

The third proportional to 258,804 and 347,806 is: 467,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,804 : 347,806 = 347,806 : x
  2. Step 2: Convert to fraction form
    258,804/347,806 = 347,806/x
  3. Step 3: Cross multiply
    258,804x = 347,806 × 347,806
  4. Step 4: Simplify right side
    258,804x = 120,969,013,636
  5. Step 5: Solve for x
    x = 120,969,013,636/258,804
  6. Step 6: Final answer
    x = 467,415.55

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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.