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Finding the Third Proportional to 307,687 and 664,582

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Solution

The third proportional to 307,687 and 664,582 is: 1,435,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,687 : 664,582 = 664,582 : x
  2. Step 2: Convert to fraction form
    307,687/664,582 = 664,582/x
  3. Step 3: Cross multiply
    307,687x = 664,582 × 664,582
  4. Step 4: Simplify right side
    307,687x = 441,669,234,724
  5. Step 5: Solve for x
    x = 441,669,234,724/307,687
  6. Step 6: Final answer
    x = 1,435,449.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.