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Finding the Third Proportional to 330,876 and 724,769

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Solution

The third proportional to 330,876 and 724,769 is: 1,587,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,876 : 724,769 = 724,769 : x
  2. Step 2: Convert to fraction form
    330,876/724,769 = 724,769/x
  3. Step 3: Cross multiply
    330,876x = 724,769 × 724,769
  4. Step 4: Simplify right side
    330,876x = 525,290,103,361
  5. Step 5: Solve for x
    x = 525,290,103,361/330,876
  6. Step 6: Final answer
    x = 1,587,573.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.