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Finding the Third Proportional to 641,295 and 1,385,379

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Solution

The third proportional to 641,295 and 1,385,379 is: 2,992,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,295 : 1,385,379 = 1,385,379 : x
  2. Step 2: Convert to fraction form
    641,295/1,385,379 = 1,385,379/x
  3. Step 3: Cross multiply
    641,295x = 1,385,379 × 1,385,379
  4. Step 4: Simplify right side
    641,295x = 1,919,274,973,641
  5. Step 5: Solve for x
    x = 1,919,274,973,641/641,295
  6. Step 6: Final answer
    x = 2,992,811.38

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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.