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Finding the Third Proportional to 382,117 and 809,751

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Solution

The third proportional to 382,117 and 809,751 is: 1,715,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,117 : 809,751 = 809,751 : x
  2. Step 2: Convert to fraction form
    382,117/809,751 = 809,751/x
  3. Step 3: Cross multiply
    382,117x = 809,751 × 809,751
  4. Step 4: Simplify right side
    382,117x = 655,696,682,001
  5. Step 5: Solve for x
    x = 655,696,682,001/382,117
  6. Step 6: Final answer
    x = 1,715,957.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.