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Finding the Third Proportional to 286,638 and 669,345

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Solution

The third proportional to 286,638 and 669,345 is: 1,563,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638 : 669,345 = 669,345 : x
  2. Step 2: Convert to fraction form
    286,638/669,345 = 669,345/x
  3. Step 3: Cross multiply
    286,638x = 669,345 × 669,345
  4. Step 4: Simplify right side
    286,638x = 448,022,729,025
  5. Step 5: Solve for x
    x = 448,022,729,025/286,638
  6. Step 6: Final answer
    x = 1,563,026.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.