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Finding the Third Proportional to 509,688 and 809,734

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Solution

The third proportional to 509,688 and 809,734 is: 1,286,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,688 : 809,734 = 809,734 : x
  2. Step 2: Convert to fraction form
    509,688/809,734 = 809,734/x
  3. Step 3: Cross multiply
    509,688x = 809,734 × 809,734
  4. Step 4: Simplify right side
    509,688x = 655,669,150,756
  5. Step 5: Solve for x
    x = 655,669,150,756/509,688
  6. Step 6: Final answer
    x = 1,286,412.77

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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.