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Finding the Third Proportional to 509,696 and 809,744

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Solution

The third proportional to 509,696 and 809,744 is: 1,286,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,696 : 809,744 = 809,744 : x
  2. Step 2: Convert to fraction form
    509,696/809,744 = 809,744/x
  3. Step 3: Cross multiply
    509,696x = 809,744 × 809,744
  4. Step 4: Simplify right side
    509,696x = 655,685,345,536
  5. Step 5: Solve for x
    x = 655,685,345,536/509,696
  6. Step 6: Final answer
    x = 1,286,424.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.