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Finding the Third Proportional to 488,503 and 775,379

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Solution

The third proportional to 488,503 and 775,379 is: 1,230,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,503 : 775,379 = 775,379 : x
  2. Step 2: Convert to fraction form
    488,503/775,379 = 775,379/x
  3. Step 3: Cross multiply
    488,503x = 775,379 × 775,379
  4. Step 4: Simplify right side
    488,503x = 601,212,593,641
  5. Step 5: Solve for x
    x = 601,212,593,641/488,503
  6. Step 6: Final answer
    x = 1,230,724.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.