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Finding the Third Proportional to 383,004 and 823,680

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Solution

The third proportional to 383,004 and 823,680 is: 1,771,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,004 : 823,680 = 823,680 : x
  2. Step 2: Convert to fraction form
    383,004/823,680 = 823,680/x
  3. Step 3: Cross multiply
    383,004x = 823,680 × 823,680
  4. Step 4: Simplify right side
    383,004x = 678,448,742,400
  5. Step 5: Solve for x
    x = 678,448,742,400/383,004
  6. Step 6: Final answer
    x = 1,771,388.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.