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Finding the Third Proportional to 295,414 and 644,296

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Solution

The third proportional to 295,414 and 644,296 is: 1,405,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414 : 644,296 = 644,296 : x
  2. Step 2: Convert to fraction form
    295,414/644,296 = 644,296/x
  3. Step 3: Cross multiply
    295,414x = 644,296 × 644,296
  4. Step 4: Simplify right side
    295,414x = 415,117,335,616
  5. Step 5: Solve for x
    x = 415,117,335,616/295,414
  6. Step 6: Final answer
    x = 1,405,205.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.