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Finding the Third Proportional to 295,992 and 641,880

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Solution

The third proportional to 295,992 and 641,880 is: 1,391,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,992 : 641,880 = 641,880 : x
  2. Step 2: Convert to fraction form
    295,992/641,880 = 641,880/x
  3. Step 3: Cross multiply
    295,992x = 641,880 × 641,880
  4. Step 4: Simplify right side
    295,992x = 412,009,934,400
  5. Step 5: Solve for x
    x = 412,009,934,400/295,992
  6. Step 6: Final answer
    x = 1,391,963.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.