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Finding the Third Proportional to 640,242 and 1,373,796

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Solution

The third proportional to 640,242 and 1,373,796 is: 2,947,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,242 : 1,373,796 = 1,373,796 : x
  2. Step 2: Convert to fraction form
    640,242/1,373,796 = 1,373,796/x
  3. Step 3: Cross multiply
    640,242x = 1,373,796 × 1,373,796
  4. Step 4: Simplify right side
    640,242x = 1,887,315,449,616
  5. Step 5: Solve for x
    x = 1,887,315,449,616/640,242
  6. Step 6: Final answer
    x = 2,947,815.75

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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.