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Finding the Third Proportional to 353,108 and 724,818

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Solution

The third proportional to 353,108 and 724,818 is: 1,487,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,108 : 724,818 = 724,818 : x
  2. Step 2: Convert to fraction form
    353,108/724,818 = 724,818/x
  3. Step 3: Cross multiply
    353,108x = 724,818 × 724,818
  4. Step 4: Simplify right side
    353,108x = 525,361,133,124
  5. Step 5: Solve for x
    x = 525,361,133,124/353,108
  6. Step 6: Final answer
    x = 1,487,819.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.